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 A014481 a(n) = 2^n*n!*(2*n+1). 5
 1, 6, 40, 336, 3456, 42240, 599040, 9676800, 175472640, 3530096640, 78033715200, 1880240947200, 49049763840000, 1377317368627200, 41421544567603200, 1328346084409344000, 45249466617298944000, 1631723190138961920000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Denominators of expansion of Integral_{t=0..x} exp(-(t^2)/2) dt = sqrt(Pi/2)*erf(x/sqrt(2)) in powers x^(2*n+1), n >= 0. Numerators are (-1)^n. - Wolfdieter Lang, Jun 29 2007 a(n) = A009445(n) / A001147(n). - Reinhard Zumkeller, Dec 03 2011 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..100 Eric Weisstein's World of Mathematics, Normal Distribution Function.html. FORMULA Expansion of (1+2x)/(1-2x)^2. G.f.: G(0)/(2*x) - 1/x, where G(k)= 1 - 2*x+ 1/(1 - 2*x*(k+1)/(2*x*(k+1) + 1/G(k+1))); (continued fraction). - Sergei N. Gladkovskii, May 24 2013 PROG (MAGMA) [2^n*Factorial(n)*(2*n+1): n in [0..50]]; // Vincenzo Librandi, Apr 25 2011 (Haskell) a014481 n = a009445 n `div` a001147 n  -- Reinhard Zumkeller, Dec 03 2011 CROSSREFS From Johannes W. Meijer, Nov 12 2009: (Start) Appears in A167572. Equals row sums of A167583. (End) Sequence in context: A181571 A231126 A006387 * A184266 A000683 A143342 Adjacent sequences:  A014478 A014479 A014480 * A014482 A014483 A014484 KEYWORD nonn AUTHOR STATUS approved

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Last modified December 9 17:51 EST 2018. Contains 318023 sequences. (Running on oeis4.)