A245505 - OEIS

%I #5 Jul 25 2014 09:18:26

%S 1,1,4,19,116,901,8422,89755,1066088,14154409,212952266,3646226959,

%T 69912304156,1460516349709,32480282189006,759186766079011,

%U 18569220500830928,475114325555073745,12719547174925542034,356098625214192355735,10413932958067814029316

%N Number of endofunctions f on [n] such that f^9(i) = f(i) for all i in [n].

%H Alois P. Heinz, <a href="/A245505/b245505.txt">Table of n, a(n) for n = 0..200</a>

%F E.g.f.: exp(Sum_{j=0..3} (x*exp(x))^(2^j)/(2^j)).

%p egf:= exp(add((x*exp(x))^(2^j)/(2^j), j=0..3)):

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

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

%Y Column k=9 of A245501.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Jul 24 2014