OFFSET
0,2
COMMENTS
FORMULA
a(n) = Sum_{k = 0..n} A046716(n, k)*7^k.
Conjectured to be D-finite with recurrence: a(n) +(-7*n-1)*a(n-1) +49*(n-1)*a(n-2)=0. - R. J. Mathar, Nov 15 2019
a(n) ~ sqrt(2*Pi) * n^(n + 1/2) * 7^n / (Gamma(1/7) * exp(n-1) * n^(6/7)). - Vaclav Kotesovec, Nov 19 2021
PROG
(PARI) my(x='x+O('x^20)); Vec(serlaplace(exp(7*x)/(1-7*x)^(1/7))) \\ Michel Marcus, Jan 23 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Philippe Deléham, Jun 17 2004
EXTENSIONS
Corrected by D. S. McNeil, Aug 20 2010
STATUS
approved