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A059240 Denominators of coefficients of asymptotic expansion related to iterated sine function. 2

%I #14 Jan 03 2017 02:40:10

%S 1,1,5,7,25,385,79625,1925,14889875,116491375,4094715625,32534376875,

%T 49558343209375,2505147019375,118055053288046875,13604013002689484375,

%U 70242756706387890625,25617946563506171875,1532331197299213611691015625,167669460258147894921875

%N Denominators of coefficients of asymptotic expansion related to iterated sine function.

%D N. G. de Bruijn, Asymptotic Methods in Analysis, North-Holland, 3rd. ed., 1970; see p. 158, (8.6.4).

%H G. C. Greubel, <a href="/A059240/b059240.txt">Table of n, a(n) for n = 0..275</a>

%F a(n) = denominator ( (1-2*n)*(-12)^n*Bernoulli(2*n)/(2*n)! ).

%p a:= n-> denom((1-2*n)*(-12)^n*bernoulli(2*n)/(2*n)!): seq (a(n), n=0..30);

%t Denominator[Table[(1-2n)(-12)^n BernoulliB[2n]/(2n)!,{n,0,30}]] (* _Harvey P. Dale_, Nov 06 2011 *)

%Y Cf. A059239.

%K nonn,easy,frac

%O 0,3

%A _N. J. A. Sloane_, Jan 21 2001

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Last modified June 16 16:46 EDT 2024. Contains 373432 sequences. (Running on oeis4.)