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 A370102 a(n) = Sum_{k=0..n} binomial(4*n,k) * binomial(5*n-k-1,n-k). 4
 1, 8, 128, 2312, 44032, 864008, 17282432, 350353928, 7172939776, 147972367880, 3070951360128, 64044689834760, 1341056098444288, 28176478479561992, 593725756425591680, 12542160174109922312, 265525958014053580800, 5632170795392966388744 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..17. FORMULA a(n) = [x^n] ( (1+x)^4/(1-x)^4 )^n. The g.f. exp( Sum_{k>=1} a(k) * x^k/k ) has integer coefficients and equals (1/x) * Series_Reversion( x*(1-x)^4/(1+x)^4 ). See A365847. PROG (PARI) a(n) = sum(k=0, n, binomial(4*n, k)*binomial(5*n-k-1, n-k)); CROSSREFS Cf. A001448, A370100, A370101. Cf. A370098, A370099. Cf. A365847. Sequence in context: A300178 A013777 A183497 * A237023 A156270 A051189 Adjacent sequences: A370099 A370100 A370101 * A370103 A370104 A370105 KEYWORD nonn AUTHOR Seiichi Manyama, Feb 10 2024 STATUS approved

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Last modified July 20 06:10 EDT 2024. Contains 374441 sequences. (Running on oeis4.)