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A207972
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G.f.: exp( Sum_{n>=1} 5*Fibonacci(n^2) * x^n/n ).
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5
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1, 5, 20, 115, 1665, 82650, 12847310, 5620114060, 6659421195205, 21082748688390045, 177217804775828062850, 3941798437750184226876305, 231505293200405380457355524620, 35848160499603817968830380832049915, 14619744406297572472084577939841875791890
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OFFSET
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0,2
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COMMENTS
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Give g.f. A(x), note that A(x)^(1/5) is not an integer series.
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LINKS
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Table of n, a(n) for n=0..14.
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EXAMPLE
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G.f.: A(x) = 1 + 5*x + 20*x^2 + 115*x^3 + 1665*x^4 + 82650*x^5 +...
such that
log(A(x))/5 = x + 3*x^2/2 + 34*x^3/3 + 987*x^4/4 + 75025*x^5/5 + 14930352*x^6/6 + 7778742049*x^7/7 +...+ Fibonacci(n^2)*x^n/n +...
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PROG
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(PARI) {a(n)=polcoeff(exp(sum(k=1, n, 5*fibonacci(k^2)*x^k/k)+x*O(x^n)), n)}
for(n=0, 16, print1(a(n), ", "))
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CROSSREFS
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Cf. A054888, A207969, A207970, A207971, A054783, A207834, A211892.
Sequence in context: A137961 A167145 A020039 * A117736 A028944 A054720
Adjacent sequences: A207969 A207970 A207971 * A207973 A207974 A207975
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Feb 22 2012
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STATUS
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approved
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