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 A113671 Self-convolution 5th power equals A113665, where a(n) = n*A113665(n-1) for n>=1, with a(0)=1. 6
 1, 1, 10, 180, 4440, 135525, 4866156, 199577910, 9174096960, 466435229220, 25973117225450, 1571873641094680, 102741164109622800, 7214517196021315830, 541781124945022815720, 43336510897320779553450 (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)^5], (2) [x^n] exp( x*A(x)^5 ) * (n + 1 - A(x)) = 0 for n > 0, (3) [x^n] exp( n * x*A(x)^5 ) * (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^5)); polcoeff(A, n, x)} CROSSREFS Cf. A113665, A000699, A113669, A113670, A113672, A113673, A113674. Sequence in context: A261177 A113119 A067416 * A001762 A034908 A030048 Adjacent sequences:  A113668 A113669 A113670 * A113672 A113673 A113674 KEYWORD nonn AUTHOR Paul D. Hanna, Nov 04 2005 STATUS approved

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Last modified October 29 21:18 EDT 2020. Contains 338074 sequences. (Running on oeis4.)