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A245914 Number of pairs of endofunctions f, g on [n] satisfying f(g^5(i)) = f(i) for all i in [n]. 2
1, 1, 10, 159, 3496, 173225, 15680736, 1618295455, 169456569472, 17962132149009, 2673715009888000, 652752279443748671, 185425990150444922880, 50400836024570702513401, 12815973354809222836596736, 3862679850655546273674429375, 1722827488179450551983866413056 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..150

MAPLE

with(combinat):

b:= proc(n, i) option remember; `if`(n=0 or i=1, x^n,

      expand(add((i-1)!^j*multinomial(n, n-i*j, i$j)/j!*

      x^(igcd(i, 5)*j)*b(n-i*j, i-1), j=0..n/i)))

    end:

a:= n-> add(binomial(n-1, j-1)*n^(n-j)*subs(x=n, b(j$2)), j=0..n):

seq(a(n), n=0..20);

CROSSREFS

Column k=5 of A245910.

Sequence in context: A283721 A239761 A245916 * A239762 A087961 A116041

Adjacent sequences:  A245911 A245912 A245913 * A245915 A245916 A245917

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 06 2014

STATUS

approved

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Last modified December 7 20:40 EST 2021. Contains 349589 sequences. (Running on oeis4.)