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A151816 a(n) = (2*n)! - ((2*n-1)!!)^2. 0

%I #22 Apr 19 2024 02:12:01

%S 0,1,15,495,29295,2735775,370945575,68916822975,16813959537375,

%T 5214921734397375,2004231846526284375,934957186489800849375,

%U 520444368391989625959375,340788940288324502208609375,259324006920606914270844234375,226933251813970116856323617109375,226305693647403205116652558922109375

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

%C This was (incorrectly) proposed as a formula for A001818(2n).

%H Tewodros Amdeberhan, Adriana Duncan, Victor H. Moll, and Vaishavi Sharma, <a href="https://arxiv.org/abs/2012.05040">Filter integrals for orthogonal polynomials</a>, arXiv:2012.05040 [math.CA], 2020.

%F a(n) = A000142(2*n) - A001147(n)^2.

%F a(n) = A010050(n) - A001818(n).

%p seq((2*n)! - doublefactorial(2*n-1)^2, n=0..16); # _Georg Fischer_, Apr 19 2024

%Y Cf. A000142, A010050, A001147, A001818.

%Y Bisection of A088979.

%K nonn,changed

%O 0,3

%A _N. J. A. Sloane_, Jul 03 2009

%E Definition corrected by _Georg Fischer_, Apr 18 2024

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Last modified April 20 02:49 EDT 2024. Contains 371798 sequences. (Running on oeis4.)