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A113672 Self-convolution 6th power equals A113666, where a(n) = n*A113666(n-1) for n>=1, with a(0)=1. 6
1, 1, 12, 261, 7784, 287145, 12452256, 616408534, 34178166288, 2094929612766, 140568321437700, 10246761825942972, 806426083421461440, 68162575162983744079, 6159817390723312545936, 592796927295190983761100 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
G.f. A(x) satisfies:
(1) A(x) = 1 + x*d/dx[x*A(x)^6],
(2) [x^n] exp( x*A(x)^6 ) * (n + 1 - A(x)) = 0 for n > 0,
(3) [x^n] exp( n * x*A(x)^6 ) * (2 - A(x)) = 0 for n > 0. - Paul D. Hanna, May 27 2018
PROG
(PARI) {a(n)=local(A=1+x*O(x^n)); for(i=1, n, A=1+x*deriv(x*A^6)); polcoeff(A, n, x)}
CROSSREFS
Sequence in context: A352971 A138451 A295844 * A259269 A035265 A167869
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 04 2005
STATUS
approved

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Last modified March 28 08:19 EDT 2024. Contains 371236 sequences. (Running on oeis4.)