[go: up one dir, main page]

login
A113663
Self-convolution cube of A113669, where a(n) = A113669(n+1)/(n+1).
9
1, 3, 21, 226, 3216, 56229, 1158249, 27367560, 728245038, 21531918486, 700096811670, 24826071871890, 953594302010230, 39446976470619801, 1748616265593936681, 82701936091459565976, 4157268410857737364182
OFFSET
0,2
LINKS
FORMULA
G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^3.
a(n) ~ c * 3^n * n! * n^(2/3), where c = 0.7528584991179137287053869... - Vaclav Kotesovec, Oct 23 2020
PROG
(PARI) {a(n)=local(A=1+x*O(x^n)); for(i=1, n, A=(1+x*deriv(x*A))^3); polcoeff(A, n, x)}
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 04 2005
STATUS
approved