Superfactorial

superfactorial_for.js

Number.prototype.superfactorial = function() {
  var a, e, d, b, c;
  d = 1;
  for(a = b = 2;2 <= this ? b <= this : b >= this;a = 2 <= this ? ++b : --b) {
    for(e = c = 2;2 <= a ? c <= a : c >= a;e = 2 <= a ? ++c : --c) {
      d *= e
    }
  }
  return d
};

superfactorial_range.js

function range(c,b){return function(){var d=[];for(var a=c;c<=b?a<=b:a>=b;c<=b?a++:a--)d.push(a);return d}(this)}

Array.prototype.product = function() {
  return this.reduce(function(a, b) {
    return a * b
  })
};

Number.prototype.superfactorial = function() {
  return function(a) {
    return 2 > a ? 1 : range(2, a).map(function(a) {
      return range(2, a).product()
    }).product()
  }(this)
};

superfactorial_recursive.js

/* with Y combinator */
Number.prototype.superfactorial = function() {
  return function(c) {
    return function(a) {
      return a(a)
    }(function(a) {
      return c(function(d) {
        return a(a)(d)
      })
    })
  }(function(c) {
    return function(a) {
      return 2 > a ? 1 : function(a) {
        return function(a) {
          return a(a)
        }(function(b) {
          return a(function(a) {
            return b(b)(a)
          })
        })
      }(function(a) {
        return function(b) {
          return 2 > b ? 1 : b * a(b - 1)
        }
      })(a) * c(a - 1)
    }
  })(this)
};

/* with U combinator */
Number.prototype.superfactorial = function() {
  return function(a) {
    return a(a)
  }(function(a) {
    return function(b) {
      return 2 > b ? 1 : function(a) {
        return a(a)
      }(function(a) {
        return function(b) {
          return 2 > b ? 1 : b * a(a)(b - 1)
        }
      })(b) * a(a)(b - 1)
    }
  })(this)
};