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A225846 Denominator of c(n) = 2^(2*n)*(2^(2*n) - 1)/(2*n)!, a coefficient used in the expansion of tan(x) as Sum_{n>=1} c(n)*|Bernoulli(2*n)|*x^(2*n-1). 2

%I #15 Sep 08 2022 08:46:05

%S 1,1,1,5,21,4725,1485,14189175,42567525,516891375,11249435925,

%T 714620417135625,2124921731625,16025362854266390625,

%U 605758715891269565625,5703572324950265390625,480509193164339417203125,22913080876041525109331015625,92765509619601316232109375

%N Denominator of c(n) = 2^(2*n)*(2^(2*n) - 1)/(2*n)!, a coefficient used in the expansion of tan(x) as Sum_{n>=1} c(n)*|Bernoulli(2*n)|*x^(2*n-1).

%D George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), p. 63.

%H Vincenzo Librandi, <a href="/A225846/b225846.txt">Table of n, a(n) for n = 0..250</a>

%t Table[2^(2*n)*(2^(2*n)-1)/(2*n)! // Denominator, {n, 0, 20}]

%o (Magma) [Denominator(2^(2*n)*(2^(2*n)-1)/Factorial(2*n)): n in [0..20]]; // _Vincenzo Librandi_, Jul 17 2013

%Y Cf. A225845 (numerators), A000367, A002445, A002430, A036279.

%K nonn,frac,easy

%O 0,4

%A _Jean-François Alcover_, May 17 2013

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Last modified April 19 14:10 EDT 2024. Contains 371792 sequences. (Running on oeis4.)