[seqfan] A114894

Don Reble djr at nk.ca
Sun Dec 6 00:54:06 CET 2020


Seqfans:

> %S A114894 1,2,4,3,16,5,64,9,37,6,12,7,4096,22,76,129,65536,10,262144,...
> %N A114894 a(n) is the minimal k such that a deck of 2k cards is
>            returned to its original state by n out-shuffles.

    Isn't this just "the least positive integer X such that
    N is the least positive integer such that 2^N == 1 modulo 2X-1"?

    If so, a(49) = 2216338399297, a(61) = 1152921504606846976.
    (derived from the factorizations of 2^49-1 and 2^61-1)

-- 
Don Reble  djr at nk.ca




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