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A014481
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2^n*n!*(2*n+1).
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5
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1, 6, 40, 336, 3456, 42240, 599040, 9676800, 175472640, 3530096640, 78033715200, 1880240947200, 49049763840000, 1377317368627200, 41421544567603200, 1328346084409344000, 45249466617298944000, 1631723190138961920000
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OFFSET
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0,2
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COMMENTS
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Denominators of expansion of int(exp(-(t^2)/2),t,0..x)= sqrt(Pi/2)*erf(x/sqrt(2)) in powers x^(2*n+1), n>=0. Numerators are (-1)^n. - W. Lang, Jun 29 2007.
a(n) = A009445(n) / A001147(n). [Reinhard Zumkeller, Dec 03 2011]
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..100
Eric Weisstein's World of Mathematics, Normal Distribution Function.html.
Index entries for sequences related to factorial numbers
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FORMULA
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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
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PROG
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(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
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CROSSREFS
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Contribution from Johannes W. Meijer, Nov 12 2009: (Start)
Appears in A167572.
Equals row sums of A167583.
(End)
Sequence in context: A083805 A181571 A006387 * A184266 A000683 A143342
Adjacent sequences: A014478 A014479 A014480 * A014482 A014483 A014484
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KEYWORD
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nonn,changed
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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