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A088979 a(n) = n! - ((n-1)!!)^2. 1

%I #13 Apr 18 2024 18:36:16

%S 1,2,15,56,495,2736,29295,215424,2735775,25171200,370945575,

%T 4103654400,68916822975,891494553600,16813959537375,249145395609600,

%U 5214921734397375,87125481883238400,2004231846526284375,37283094761472000000,934957186489800849375

%N a(n) = n! - ((n-1)!!)^2.

%F E.g.f.: 1/(1 - x) - (1 + arcsin(x))/sqrt(1 - x^2). - _Benedict W. J. Irwin_, Oct 14 2016

%t Table[CoefficientList[Series[1/(1-x)-(1+ArcSin[x])/Sqrt[1-x^2], {x, 0, 20}],x][[n]](n-1)!, {n, 3, 20}] (* _Benedict W. J. Irwin_, Oct 14 2016 *)

%Y Cf. A006882.

%Y Bisection gives A151816.

%K nonn,changed

%O 2,2

%A _Vladeta Jovovic_, Oct 31 2003

%E More terms from _Ray Chandler_, Nov 06 2003

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)