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A364333 G.f. satisfies A(x) = (1 + x*A(x)^2) * (1 + x*A(x)^6). 3
1, 2, 17, 216, 3224, 52640, 910452, 16392140, 303996224, 5767278431, 111401778266, 2183535060362, 43319505976084, 868220464851417, 17552981176788200, 357544690982030744, 7330803752675100908, 151172599088871911072, 3133367418601958989295, 65242183918761533467216 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = Sum_{k=0..n} binomial(2*n+4*k+1,k) * binomial(2*n+4*k+1,n-k) / (2*n+4*k+1).
PROG
(PARI) a(n) = sum(k=0, n, binomial(2*n+4*k+1, k)*binomial(2*n+4*k+1, n-k)/(2*n+4*k+1));
CROSSREFS
Cf. A200718.
Sequence in context: A364446 A333990 A349654 * A370289 A004029 A114268
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 18 2023
STATUS
approved

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Last modified May 31 19:57 EDT 2024. Contains 373003 sequences. (Running on oeis4.)