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A245504 Number of endofunctions f on [n] such that f^8(i) = f(i) for all i in [n]; 2
1, 1, 3, 10, 41, 196, 1057, 7042, 87473, 2004328, 50881121, 1200507694, 26179091017, 538344201292, 10635924720449, 204889902343666, 3902206399428833, 74966895289570768, 1511315984060460865, 34267718094037895638, 937490346932078590841, 30931366331911427839156 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..200

FORMULA

E.g.f.: exp(x*exp(x)+x^7*exp(x)^7/7).

MAPLE

egf:= exp(x*exp(x)+x^7*exp(x)^7/7):

a:= n-> n!*coeff(series(egf, x, n+1), x, n):

seq(a(n), n=0..25);

MATHEMATICA

With[{nn=30}, CoefficientList[Series[Exp[x Exp[x]+(x^7 Exp[x]^7)/7], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jan 10 2016 *)

CROSSREFS

Column k=8 of A245501.

Sequence in context: A116540 A236407 A000248 * A305405 A030927 A002627

Adjacent sequences:  A245501 A245502 A245503 * A245505 A245506 A245507

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 24 2014

STATUS

approved

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Last modified August 18 20:29 EDT 2018. Contains 313840 sequences. (Running on oeis4.)