cp's OEIS Frontend

A245502 Number of endofunctions f on [n] such that f^6(i) = f(i) for all i in [n].

%I A245502 #5 Jul 25 2014 09:15:44
%S A245502 1,1,3,10,41,220,1921,25474,384113,5785192,85295105,1244587246,
%T A245502 18399553801,286188407116,4920039471089,96938148715090,
%U A245502 2172951409994081,53076309208887760,1351935357372173953,35000099470802409814,914038174404012874745,24209598764577808155316
%N A245502 Number of endofunctions f on [n] such that f^6(i) = f(i) for all i in [n].
%H A245502 Alois P. Heinz, <a href="/A245502/b245502.txt">Table of n, a(n) for n = 0..200</a>
%F A245502 E.g.f.: exp(x*exp(x)+x^5*exp(x)^5/5).
%p A245502 egf:= exp(x*exp(x)+x^5*exp(x)^5/5):
%p A245502 a:= n-> n!*coeff(series(egf, x, n+1), x, n):
%p A245502 seq(a(n), n=0..25);
%Y A245502 Column k=6 of A245501.
%K A245502 nonn
%O A245502 0,3
%A A245502 _Alois P. Heinz_, Jul 24 2014