A225845 Numerator 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).
0, 6, 10, 28, 34, 1364, 52, 43688, 8738, 5548, 5084, 11184808, 964, 178956968, 143165576, 24790576, 33686018, 22906492244, 1177636, 733007751848, 10115684, 79783156664, 407934748856, 375299968947536, 16173237188, 8804691353608, 2401919801264264
Offset: 0
References
- George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), p. 63.
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..300
Programs
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Magma
[Numerator(2^(2*n)*(2^(2*n)-1)/Factorial(2*n)): n in [0..30]]; // Vincenzo Librandi, Jul 17 2013
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Mathematica
Table[2^(2*n)*(2^(2*n)-1)/(2*n)! // Numerator, {n, 0, 30}]