login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A207972 G.f.: exp( Sum_{n>=1} 5*Fibonacci(n^2) * x^n/n ). 5
1, 5, 20, 115, 1665, 82650, 12847310, 5620114060, 6659421195205, 21082748688390045, 177217804775828062850, 3941798437750184226876305, 231505293200405380457355524620, 35848160499603817968830380832049915, 14619744406297572472084577939841875791890 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Give g.f. A(x), note that A(x)^(1/5) is not an integer series.

LINKS

Table of n, a(n) for n=0..14.

EXAMPLE

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 + ...

PROG

(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), ", "))

CROSSREFS

Cf. A054888, A207969, A207970, A207971, A054783, A207834, A211892.

Sequence in context: A300490 A020039 A319489 * A117736 A258665 A028944

Adjacent sequences: A207969 A207970 A207971 * A207973 A207974 A207975

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Feb 22 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 5 15:27 EST 2022. Contains 358588 sequences. (Running on oeis4.)