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A245919 Number of pairs of endofunctions f, g on [n] satisfying f(g^10(i)) = f(i) for all i in [n]. 2
1, 1, 12, 249, 7744, 401625, 30080736, 3034643689, 371205076992, 52680504366801, 12762075858688000, 4097222646625776921, 1485034580150268715008, 546325401769976582587561, 203541885180568005538811904, 89218786842877518275107415625 (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; unapply(`if`(n=0 or i=1, x^n,

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

      x^(igcd(i, 10)*j)*b(n-i*j, i-1)(x), j=0..n/i))), x)

    end:

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

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

CROSSREFS

Column k=10 of A245910.

Sequence in context: A009472 A012066 A239777 * A245913 A245917 A265453

Adjacent sequences:  A245916 A245917 A245918 * A245920 A245921 A245922

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 06 2014

STATUS

approved

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Last modified September 25 15:27 EDT 2021. Contains 347658 sequences. (Running on oeis4.)