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 A113674 Self-convolution 8th power equals A113668, where a(n) = n*A113668(n-1) for n>=1, with a(0)=1. 6
 1, 1, 16, 468, 18784, 932030, 54321840, 3611129620, 268687287744, 22085224470873, 1986091468594160, 193935237759263880, 20436302307290415264, 2311999369405933686648, 279558778132903394262032 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..14. FORMULA G.f. A(x) satisfies: (1) A(x) = 1 + x*d/dx[x*A(x)^8], (2) [x^n] exp( x*A(x)^8 ) * (n + 1 - A(x)) = 0 for n > 0, (3) [x^n] exp( n * x*A(x)^8 ) * (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^8)); polcoeff(A, n, x)} CROSSREFS Cf. A113668, A000699, A113669, A113670, A113671, A113672, A113673. Sequence in context: A358569 A253446 A159646 * A281834 A299078 A299841 Adjacent sequences: A113671 A113672 A113673 * A113675 A113676 A113677 KEYWORD nonn AUTHOR Paul D. Hanna, Nov 04 2005 STATUS approved

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Last modified June 5 05:23 EDT 2023. Contains 363130 sequences. (Running on oeis4.)