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

1, 1, 5, 7, 25, 385, 79625, 1925, 14889875, 116491375, 4094715625, 32534376875, 49558343209375, 2505147019375, 118055053288046875, 13604013002689484375, 70242756706387890625, 25617946563506171875, 1532331197299213611691015625, 167669460258147894921875

Offset

0,3

References

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

Links

G. C. Greubel, Table of n, a(n) for n = 0..275

Formula

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

Maple

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

Mathematica

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

Crossrefs

Cf. A059239.

Sequence in context: A179782 A013626 A067701 * A324363 A166100 A135606

Adjacent sequences: A059237 A059238 A059239 * A059241 A059242 A059243

Keyword

nonn,easy,frac

Author

N. J. A. Sloane, Jan 21 2001

Status

approved