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 A366237 G.f. A(x) satisfies A(x) = 1 + x + x*(1 + x)^3*A(x)^2. 2
 1, 2, 7, 33, 161, 843, 4601, 25896, 149254, 876480, 5225616, 31547730, 192470212, 1184804588, 7349888208, 45902094845, 288368474907, 1821096958308, 11554270204142, 73615309821574, 470795634833760, 3021222108762826, 19448517295201332 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..22. FORMULA G.f.: 2*(1+x) / (1 + sqrt(1-4*x*(1+x)^4)). a(n) = Sum_{k=0..n} binomial(4*k+1,n-k) * binomial(2*k,k)/(k+1). PROG (PARI) a(n) = sum(k=0, n, binomial(4*k+1, n-k)*binomial(2*k, k)/(k+1)); CROSSREFS Cf. A073157, A366236, A366238. Cf. A000108. Sequence in context: A080119 A162257 A214954 * A369269 A369300 A055724 Adjacent sequences: A366234 A366235 A366236 * A366238 A366239 A366240 KEYWORD nonn AUTHOR Seiichi Manyama, Oct 05 2023 STATUS approved

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Last modified August 6 22:39 EDT 2024. Contains 375001 sequences. (Running on oeis4.)