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A249332
a(n) = Sum_{k=0..2*n} binomial(2*n, k)^4.
2
1, 18, 1810, 263844, 44916498, 8345319268, 1640651321764, 335556407724360, 70666388112940818, 15220552520052960516, 3337324864503769353060, 742446552655157791828680, 167167472732516775004539300, 38021985442071415426063237704, 8723111727436784830252513497928
OFFSET
0,2
LINKS
FORMULA
a(n) = A005260(2*n).
MATHEMATICA
Table[Sum[Binomial[2*n, k]^4, {k, 0, 2*n}], {n, 0, 30}] (* G. C. Greubel, Aug 04 2018 *)
PROG
(PARI) {a(n) = sum(k=0, 2*n, binomial( 2*n, k)^4)};
(Magma) [(&+[Binomial(2*n, k)^4: k in [0..2*n]]): n in [0..30]]; // G. C. Greubel, Aug 04 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Michael Somos, Oct 25 2014
STATUS
approved