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 A368934 Expansion of (1/x) * Series_Reversion( x * (1-x)^2 * (1-x-x^2) ). 1
 1, 3, 16, 104, 751, 5789, 46656, 388377, 3313304, 28816513, 254548840, 2277498340, 20596833817, 187974816142, 1729033498416, 16012809644088, 149186508912927, 1397300099214753, 13149137686976324, 124262625068365924, 1178796712807563025 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..20. FORMULA a(n) = (1/(n+1)) * Sum_{k=0..floor(n/2)} binomial(n+k,k) * binomial(4*n-k+2,n-2*k). PROG (PARI) a(n) = sum(k=0, n\2, binomial(n+k, k)*binomial(4*n-k+2, n-2*k))/(n+1); (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x*(1-x)^2*(1-x-x^2))/x) CROSSREFS Cf. A001002, A046736, A236339. Cf. A368938. Sequence in context: A207434 A074542 A366050 * A344216 A105622 A110903 Adjacent sequences: A368931 A368932 A368933 * A368935 A368936 A368937 KEYWORD nonn AUTHOR Seiichi Manyama, Jan 10 2024 STATUS approved

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Last modified September 7 19:14 EDT 2024. Contains 375749 sequences. (Running on oeis4.)