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A293454
G.f.: A(x) satisfies: A( 7*x - 6*A(x) ) = x - 25*x^2.
7
1, 5, -60, 2700, -164160, 13374720, -1317409920, 151766835840, -19941590880000, 2939103216990720, -479988532980633600, 86040885120291532800, -16800662989461441945600, 3550863374378300399616000, -807913791223460628810301440, 196952399633420675888256368640
OFFSET
1,2
LINKS
FORMULA
a(n) ~ (-1)^n * c * (30/log(6))^n * n! / n^(2/3 + 3*log(6)/5), where c = 0.03826354730535151243617...
PROG
(PARI) {a(n) = my(A=x, V=[1, 5]); for(i=1, n, V = concat(V, 0); A=x*Ser(V); V[#V] = Vec( subst(A, x, 7*x - 6*A) )[#V]/5 ); V[n]}
for(n=1, 30, print1(a(n), ", "))
CROSSREFS
KEYWORD
sign
AUTHOR
Vaclav Kotesovec, Oct 09 2017
STATUS
approved