4-ary Boolean functions; clans in rational order


 * Compare 4-ary Boolean functions

In this table the Boolean functions are sorted as fractions in colex order. This order is independent of arity (unlike that of integers in ). The number of BECs by actual arity is found in. (Compare for acual or smaller arity.) n       0,  1,  2,   3,    4        arity 2^n       1,  2,  4,   8,   16        period length A000618(n)      2,  1,  3,  16,  380        number of BECs of arity = n A000616(n)       2,  3,  6,  22,  402        number of BECs of arity ≤ n

The same information in a Python dict: https://pastebin.com/q2d4aWVE Map from the 65536 functions to the BEC index numbers: https://pastebin.com/3fBShT7M The 168 monotonic functions belonging to 30 BECs: https://pastebin.com/JUeKsasG

I accidentally reflected the period in the table below. E.g. 1/3 in binary is .0101... - not .1010. I will fix it later.