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 A254633 a(n) = 16^n*[x^n]hypergeometric([3/2, -2*n], [3], -x). 1
 1, 16, 480, 17920, 752640, 34062336, 1623638016, 80408739840, 4100845731840, 214072431738880, 11388653368508416, 615465127495335936, 33704042696173158400, 1866685441634205696000, 104401050057113075712000, 5889038054986331298201600, 334693662791723162114457600 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..16. FORMULA a(n) = 4^n*C(2*n,n)*C(2*n+2,n+1)/(n+2). a(n) = (2^(6*n+2)*Gamma(n+1/2)*Gamma(n+3/2))/(Pi*Gamma(n+1)*Gamma(n+3)). a(n) = A254632(2*n,n). a(n) / 4^n = A172392(n). a(n) = [x^n]hypergeom([1/2, 3/2], [3], 64*x). a(n) = a(n-1)*( 16*(4*n^2-1)/(n*(n+2)) ) for n>=1. MAPLE a := n -> 16^n*coeff(simplify(hypergeom([3/2, -2*n], [3], -x)), x, n): seq(a(n), n=0..16); a_list := len -> seq(coeff(series(hypergeom([1/2, 3/2], [3], 64*x), x, len+1), x, n), n=0..len); a_list(16); CROSSREFS Cf. A172392, A254632. Sequence in context: A299665 A300256 A239401 * A283327 A185367 A209352 Adjacent sequences: A254630 A254631 A254632 * A254634 A254635 A254636 KEYWORD nonn AUTHOR Peter Luschny, Feb 03 2015 STATUS approved

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Last modified September 25 23:09 EDT 2023. Contains 365649 sequences. (Running on oeis4.)