Search: id:A010050
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%I A010050
%S A010050 1,2,24,720,40320,3628800,479001600,87178291200,20922789888000,
%T A010050 6402373705728000,2432902008176640000,1124000727777607680000,
%U A010050 620448401733239439360000,403291461126605635584000000
%N A010050 (2n)!.
%C A010050 Denominators in the expansion of cos(x): cos(x) = 1 - x^2/2! + x^4/4!
- x^6/6! + x^8/8! - ...
%D A010050 W. Dunham, Touring the calculus gallery, Amer. Math. Monthly, 112 (2005),
1-19.
%D A010050 I. Newton, De analysi, 1669; reprinted in D. Whiteside, ed., The Mathematical
Works of Isaac Newton, vol. 1, Johnson Reprint Co., 1964; see p.
20.
%D A010050 H. B. Dwight, Tables of Integrals and Other Mathematical Data, Macmillan,
NY, 1968, p. 88.
%H A010050 Eric Weisstein's World of Mathematics, Hyperbolic Cosine
%H A010050 Index entries for related partition-counting
sequences
%F A010050 E.g.f. for sequence with alt. signs: arctan(x).
%F A010050 E.g.f. : 1/(1-x^2) (with interpolated zeros). - Paul Barry (pbarry(AT)wit.ie),
Sep 14 2004
%F A010050 a(n+1) = a(n)*(2n+1)*(2n+2) = a(n)*A002939(n-1). - Lekraj Beedassy (blekraj(AT)yahoo.com),
Apr 29 2005
%t A010050 s=1;lst={s};Do[s+=(s*=n)*n;AppendTo[lst, s], {n, 1, 5!, 2}];lst [From
Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 15 2008]
%Y A010050 Cf. A000142, A000165, A009445.
%Y A010050 Bisection of A005359, |A012251|, A012254, A070734.
%Y A010050 Sequence in context: A046977 A119699 A093459 this_sequence A012161 A009724
A009396
%Y A010050 Adjacent sequences: A010047 A010048 A010049 this_sequence A010051 A010052
A010053
%K A010050 nonn,easy
%O A010050 0,2
%A A010050 Joe Keane (jgk(AT)jgk.org)
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