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 A365151 G.f. satisfies A(x) = ( 1 + x*A(x)^2 / (1 - x*A(x))^3 )^2. 2
 1, 2, 15, 130, 1263, 13158, 143704, 1623766, 18824931, 222670678, 2676674916, 32604377358, 401567277063, 4992440157784, 62569729324806, 789679959184598, 10027614784648750, 128024712530277906, 1642407060905790817, 21161202394988206098 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..19. 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(n+(s-1)*k-1,n-k)/(n+k+1). PROG (PARI) a(n, s=3, t=2) = sum(k=0, n, binomial(t*(n+k+1), k)*binomial(n+(s-1)*k-1, n-k)/(n+k+1)); CROSSREFS Cf. A365150, A365152. Sequence in context: A051407 A242091 A132182 * A140306 A143924 A217483 Adjacent sequences: A365148 A365149 A365150 * A365152 A365153 A365154 KEYWORD nonn AUTHOR Seiichi Manyama, Aug 23 2023 STATUS approved

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Last modified February 22 18:56 EST 2024. Contains 370260 sequences. (Running on oeis4.)