It appears batches of 165 contains more 1s than 0s signifcantly, and the effect is more pronounced for seed = 1.

RNGwalkhighbit-seed0or1.out.txt

HIGH BIT SEEDS 0 AND 1

It appears batches of 165 contains more 1s than 0s signifcantly,
and the effect is more pronounced for seed = 1.

It looks more random for batches of 55 and seed = 0, but again
seed = 1 gives more 1s

+++++++++++++++++++++++
10000 runs of 165 draws
+++++++++++++++++++++++

(shift=1, seed=0) 0:4903, 1:5097
(shift=1, seed=1) 0:4809, 1:5191

(shift=2, seed=0) 0:4915, 1:5085
(shift=2, seed=1) 0:4829, 1:5171

(shift=3, seed=0) 0:4910, 1:5090
(shift=3, seed=1) 0:4839, 1:5161

(shift=4, seed=0) 0:4928, 1:5072
(shift=4, seed=1) 0:4845, 1:5155

(shift=5, seed=0) 0:4929, 1:5071
(shift=5, seed=1) 0:4849, 1:5151

(shift=6, seed=0) 0:4920, 1:5080
(shift=6, seed=1) 0:4852, 1:5148

(shift=7, seed=0) 0:4915, 1:5085
(shift=7, seed=1) 0:4861, 1:5139

(shift=8, seed=0) 0:4909, 1:5091
(shift=8, seed=1) 0:4843, 1:5157

(shift=9, seed=0) 0:4881, 1:5119
(shift=9, seed=1) 0:4862, 1:5138

(shift=10, seed=0) 0:4886, 1:5114
(shift=10, seed=1) 0:4852, 1:5148

(shift=11, seed=0) 0:4898, 1:5102
(shift=11, seed=1) 0:4871, 1:5129

(shift=12, seed=0) 0:4905, 1:5095
(shift=12, seed=1) 0:4876, 1:5124

(shift=13, seed=0) 0:4904, 1:5096
(shift=13, seed=1) 0:4865, 1:5135

(shift=14, seed=0) 0:4941, 1:5059
(shift=14, seed=1) 0:4849, 1:5151

(shift=15, seed=0) 0:4922, 1:5078
(shift=15, seed=1) 0:4846, 1:5154

(shift=16, seed=0) 0:4925, 1:5075
(shift=16, seed=1) 0:4831, 1:5169

(shift=17, seed=0) 0:4933, 1:5067
(shift=17, seed=1) 0:4839, 1:5161

(shift=18, seed=0) 0:4940, 1:5060
(shift=18, seed=1) 0:4884, 1:5116

(shift=19, seed=0) 0:4956, 1:5044
(shift=19, seed=1) 0:4892, 1:5108

(shift=20, seed=0) 0:4949, 1:5051
(shift=20, seed=1) 0:4871, 1:5129

(shift=21, seed=0) 0:4943, 1:5057
(shift=21, seed=1) 0:4866, 1:5134

(shift=22, seed=0) 0:4936, 1:5064
(shift=22, seed=1) 0:4891, 1:5109

(shift=23, seed=0) 0:4934, 1:5066
(shift=23, seed=1) 0:4893, 1:5107

(shift=24, seed=0) 0:4941, 1:5059
(shift=24, seed=1) 0:4895, 1:5105

(shift=25, seed=0) 0:4939, 1:5061
(shift=25, seed=1) 0:4878, 1:5122

(shift=26, seed=0) 0:4937, 1:5063
(shift=26, seed=1) 0:4872, 1:5128

(shift=27, seed=0) 0:4941, 1:5059
(shift=27, seed=1) 0:4885, 1:5115

(shift=28, seed=0) 0:4953, 1:5047
(shift=28, seed=1) 0:4875, 1:5125

(shift=29, seed=0) 0:4951, 1:5049
(shift=29, seed=1) 0:4869, 1:5131

(shift=30, seed=0) 0:4954, 1:5046
(shift=30, seed=1) 0:4887, 1:5113

(shift=31, seed=0) 0:4948, 1:5052
(shift=31, seed=1) 0:4905, 1:5095

(shift=32, seed=0) 0:4945, 1:5055
(shift=32, seed=1) 0:4904, 1:5096

(shift=33, seed=0) 0:4937, 1:5063
(shift=33, seed=1) 0:4872, 1:5128

(shift=34, seed=0) 0:4969, 1:5031
(shift=34, seed=1) 0:4878, 1:5122

(shift=35, seed=0) 0:4965, 1:5035
(shift=35, seed=1) 0:4835, 1:5165

(shift=36, seed=0) 0:4930, 1:5070
(shift=36, seed=1) 0:4902, 1:5098

(shift=37, seed=0) 0:4907, 1:5093
(shift=37, seed=1) 0:4874, 1:5126

(shift=38, seed=0) 0:4922, 1:5078
(shift=38, seed=1) 0:4884, 1:5116

(shift=39, seed=0) 0:4947, 1:5053
(shift=39, seed=1) 0:4872, 1:5128

(shift=40, seed=0) 0:4972, 1:5028
(shift=40, seed=1) 0:4869, 1:5131

(shift=41, seed=0) 0:4965, 1:5035
(shift=41, seed=1) 0:4883, 1:5117

(shift=42, seed=0) 0:4914, 1:5086
(shift=42, seed=1) 0:4861, 1:5139

(shift=43, seed=0) 0:4938, 1:5062
(shift=43, seed=1) 0:4854, 1:5146

(shift=44, seed=0) 0:4913, 1:5087
(shift=44, seed=1) 0:4851, 1:5149

(shift=45, seed=0) 0:4923, 1:5077
(shift=45, seed=1) 0:4846, 1:5154

(shift=46, seed=0) 0:4911, 1:5089
(shift=46, seed=1) 0:4843, 1:5157

(shift=47, seed=0) 0:4922, 1:5078
(shift=47, seed=1) 0:4859, 1:5141

(shift=48, seed=0) 0:4917, 1:5083
(shift=48, seed=1) 0:4845, 1:5155

(shift=49, seed=0) 0:4923, 1:5077
(shift=49, seed=1) 0:4828, 1:5172

(shift=50, seed=0) 0:4907, 1:5093
(shift=50, seed=1) 0:4850, 1:5150

(shift=51, seed=0) 0:4904, 1:5096
(shift=51, seed=1) 0:4846, 1:5154

(shift=52, seed=0) 0:4912, 1:5088
(shift=52, seed=1) 0:4847, 1:5153

(shift=53, seed=0) 0:4897, 1:5103
(shift=53, seed=1) 0:4838, 1:5162

(shift=54, seed=0) 0:4909, 1:5091
(shift=54, seed=1) 0:4824, 1:5176

(shift=55, seed=0) 0:4911, 1:5089
(shift=55, seed=1) 0:4859, 1:5141


++++++++++++++++++++++
30000 runs of 55 draws
++++++++++++++++++++++

(shift=1, seed=0) 0:15052, 1:14948
(shift=1, seed=1) 0:14956, 1:15044

(shift=2, seed=0) 0:15030, 1:14970
(shift=2, seed=1) 0:14962, 1:15038

(shift=3, seed=0) 0:15069, 1:14931
(shift=3, seed=1) 0:14909, 1:15091

(shift=4, seed=0) 0:15013, 1:14987
(shift=4, seed=1) 0:14932, 1:15068

(shift=5, seed=0) 0:14999, 1:15001
(shift=5, seed=1) 0:14904, 1:15096

(shift=6, seed=0) 0:15010, 1:14990
(shift=6, seed=1) 0:14934, 1:15066

(shift=7, seed=0) 0:14983, 1:15017
(shift=7, seed=1) 0:14944, 1:15056

(shift=8, seed=0) 0:14975, 1:15025
(shift=8, seed=1) 0:14926, 1:15074

(shift=9, seed=0) 0:14956, 1:15044
(shift=9, seed=1) 0:14925, 1:15075

(shift=10, seed=0) 0:14940, 1:15060
(shift=10, seed=1) 0:14903, 1:15097

(shift=11, seed=0) 0:14972, 1:15028
(shift=11, seed=1) 0:14833, 1:15167

(shift=12, seed=0) 0:14957, 1:15043
(shift=12, seed=1) 0:14836, 1:15164

(shift=13, seed=0) 0:14949, 1:15051
(shift=13, seed=1) 0:14843, 1:15157

(shift=14, seed=0) 0:14936, 1:15064
(shift=14, seed=1) 0:14841, 1:15159

(shift=15, seed=0) 0:14901, 1:15099
(shift=15, seed=1) 0:14830, 1:15170

(shift=16, seed=0) 0:14908, 1:15092
(shift=16, seed=1) 0:14843, 1:15157

(shift=17, seed=0) 0:14970, 1:15030
(shift=17, seed=1) 0:14881, 1:15119

(shift=18, seed=0) 0:14946, 1:15054
(shift=18, seed=1) 0:14876, 1:15124

(shift=19, seed=0) 0:14934, 1:15066
(shift=19, seed=1) 0:14877, 1:15123

(shift=20, seed=0) 0:14930, 1:15070
(shift=20, seed=1) 0:14865, 1:15135

(shift=21, seed=0) 0:14959, 1:15041
(shift=21, seed=1) 0:14866, 1:15134

(shift=22, seed=0) 0:14925, 1:15075
(shift=22, seed=1) 0:14912, 1:15088

(shift=23, seed=0) 0:14981, 1:15019
(shift=23, seed=1) 0:14858, 1:15142

(shift=24, seed=0) 0:14980, 1:15020
(shift=24, seed=1) 0:14888, 1:15112

(shift=25, seed=0) 0:15013, 1:14987
(shift=25, seed=1) 0:14861, 1:15139

(shift=26, seed=0) 0:14952, 1:15048
(shift=26, seed=1) 0:14882, 1:15118

(shift=27, seed=0) 0:14957, 1:15043
(shift=27, seed=1) 0:14861, 1:15139

(shift=28, seed=0) 0:14969, 1:15031
(shift=28, seed=1) 0:14923, 1:15077

(shift=29, seed=0) 0:15032, 1:14968
(shift=29, seed=1) 0:14922, 1:15078

(shift=30, seed=0) 0:15002, 1:14998
(shift=30, seed=1) 0:14878, 1:15122

(shift=31, seed=0) 0:15047, 1:14953
(shift=31, seed=1) 0:14877, 1:15123

(shift=32, seed=0) 0:14982, 1:15018
(shift=32, seed=1) 0:14846, 1:15154

(shift=33, seed=0) 0:15000, 1:15000
(shift=33, seed=1) 0:14847, 1:15153

(shift=34, seed=0) 0:14974, 1:15026
(shift=34, seed=1) 0:14850, 1:15150

(shift=35, seed=0) 0:15002, 1:14998
(shift=35, seed=1) 0:14813, 1:15187

(shift=36, seed=0) 0:14986, 1:15014
(shift=36, seed=1) 0:14819, 1:15181

(shift=37, seed=0) 0:14981, 1:15019
(shift=37, seed=1) 0:14868, 1:15132

(shift=38, seed=0) 0:14991, 1:15009
(shift=38, seed=1) 0:14867, 1:15133

(shift=39, seed=0) 0:14977, 1:15023
(shift=39, seed=1) 0:14806, 1:15194

(shift=40, seed=0) 0:15011, 1:14989
(shift=40, seed=1) 0:14821, 1:15179

(shift=41, seed=0) 0:15056, 1:14944
(shift=41, seed=1) 0:14909, 1:15091

(shift=42, seed=0) 0:15023, 1:14977
(shift=42, seed=1) 0:14896, 1:15104

(shift=43, seed=0) 0:14957, 1:15043
(shift=43, seed=1) 0:14909, 1:15091

(shift=44, seed=0) 0:15001, 1:14999
(shift=44, seed=1) 0:14883, 1:15117

(shift=45, seed=0) 0:15005, 1:14995
(shift=45, seed=1) 0:14818, 1:15182

(shift=46, seed=0) 0:14955, 1:15045
(shift=46, seed=1) 0:14814, 1:15186

(shift=47, seed=0) 0:14990, 1:15010
(shift=47, seed=1) 0:14842, 1:15158

(shift=48, seed=0) 0:15005, 1:14995
(shift=48, seed=1) 0:14862, 1:15138

(shift=49, seed=0) 0:14950, 1:15050
(shift=49, seed=1) 0:14888, 1:15112

(shift=50, seed=0) 0:14974, 1:15026
(shift=50, seed=1) 0:14933, 1:15067

(shift=51, seed=0) 0:14976, 1:15024
(shift=51, seed=1) 0:14917, 1:15083

(shift=52, seed=0) 0:14889, 1:15111
(shift=52, seed=1) 0:14881, 1:15119

(shift=53, seed=0) 0:14884, 1:15116
(shift=53, seed=1) 0:14897, 1:15103

(shift=54, seed=0) 0:14988, 1:15012
(shift=54, seed=1) 0:14975, 1:15025

(shift=55, seed=0) 0:14957, 1:15043
(shift=55, seed=1) 0:15005, 1:14995