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A289488 a(n) = denominator of Sum_{k=1..n} 1/(2*k-1)!!. 4

%I #31 Mar 01 2023 11:50:32

%S 1,3,5,105,945,3465,135135,2027025,883575,654729075,13749310575,

%T 8108567775,718713961875,213458046676875,121378104973125,

%U 191898783962510625,372509404162520625,73881031825566590625,8200794532637891559375,319830986772877770815625

%N a(n) = denominator of Sum_{k=1..n} 1/(2*k-1)!!.

%H Seiichi Manyama, <a href="/A289488/b289488.txt">Table of n, a(n) for n = 1..404</a>

%H OEIS Wiki, <a href="/wiki/A_remarkable_formula_of_Ramanujan">A remarkable formula of Ramanujan</a>

%F Denominators of coefficients in expansion of sqrt(Pi*x*exp(x)/2) * erf(sqrt(x/2)) / (1 - x). - _Ilya Gutkovskiy_, May 24 2022

%e 1, 4/3, 7/5, 148/105, 1333/945, 4888/3465, 190633/135135, 2859496/2027025, 1246447/883575, 923617228/654729075, 19395961789/13749310575, 11438644132/8108567775, ... = A289381(n)/a(n) -> A060196.

%t Accumulate[Table[1/(2k-1)!!,{k,20}]]//Denominator (* _Harvey P. Dale_, Mar 01 2023 *)

%Y Cf. A001147, A060196, A289381, A354299.

%K nonn,frac

%O 1,2

%A _Seiichi Manyama_, Sep 02 2017

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)