OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..770
FORMULA
a(n) = numerator( Sum_{k=0..n} 1/binomial(n,k)^3 ).
EXAMPLE
MATHEMATICA
Numerator[Table[Sum[1/Binomial[n, k]^3, {k, 0, n}], {n, 0, 20}]] (* Harvey P. Dale, Sep 28 2012 *)
PROG
(Magma) [Numerator( (&+[1/Binomial(n, k)^3: k in [0..n]]) ): n in [0..40]]; // G. C. Greubel, Jun 24 2022
(SageMath) [numerator(sum(1/binomial(n, k)^3 for k in (0..n))) for n in (0..40)] # G. C. Greubel, Jun 24 2022
(PARI) a(n) = numerator(sum(k=0, n, 1/binomial(n, k)^3)); \\ Michel Marcus, Jun 24 2022
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Nov 25 2004
STATUS
approved