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A171198
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G.f. satisfies: A(x) = 1/(1 - x*A(2x)^8).
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7
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1, 1, 17, 689, 53777, 7805201, 2138582801, 1132509669905, 1178804946216209, 2433551908785577745, 10007244528797884954897, 82140401194398306308608785, 1347106337625031145913841134865, 44163564651481078406730693648713489
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..13.
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FORMULA
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a(n) ~ c * 2^(n*(n+5)/2), where c = 0.265929653305627916979803234586945454418485... - Vaclav Kotesovec, Nov 03 2021
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MATHEMATICA
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nmax = 15; A[_] = 0; Do[A[x_] = 1/(1 - x*A[2*x]^8) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x] (* Vaclav Kotesovec, Nov 03 2021 *)
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PROG
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(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1/(1-x*subst(A, x, 2*x)^8) ); polcoeff(A, n)}
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CROSSREFS
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Cf. A015083, A171192-A171197.
Sequence in context: A012050 A012157 A012137 * A309410 A201311 A012182
Adjacent sequences: A171195 A171196 A171197 * A171199 A171200 A171201
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Dec 05 2009
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STATUS
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approved
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