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 A365153 G.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x)) )^2. 1
 1, 2, 11, 74, 563, 4604, 39524, 351322, 3205699, 29854250, 282615379, 2711494224, 26307568324, 257673017952, 2544420045432, 25303000558890, 253184833958403, 2547251287244918, 25752086767703969, 261480234091024906, 2665405840919762043 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..20. FORMULA If g.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x))^s )^t, then a(n) = Sum_{k=0..n} binomial(t*(n+k+1),k) * binomial(s*k,n-k)/(n+k+1). PROG (PARI) a(n, s=1, t=2) = sum(k=0, n, binomial(t*(n+k+1), k)*binomial(s*k, n-k)/(n+k+1)); CROSSREFS Cf. A001002, A365154. Sequence in context: A114179 A231556 A207397 * A346424 A319743 A166992 Adjacent sequences: A365150 A365151 A365152 * A365154 A365155 A365156 KEYWORD nonn AUTHOR Seiichi Manyama, Aug 23 2023 STATUS approved

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Last modified February 28 10:50 EST 2024. Contains 370394 sequences. (Running on oeis4.)