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A059239 Numerators of coefficients of asymptotic expansion related to iterated sine function. 2
1, 1, 3, 2, 3, 18, 1382, 12, 32553, 87734, 1047666, 2796588, 1418184546, 23685516, 366420255876, 13785346041608, 23127963123651, 2729316555918, 52630543106106954746, 1850522471899932, 4699488932936084196918, 18241171727016849632292, 91090700441348806587348 (list; graph; refs; listen; history; text; internal format)
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..314

FORMULA

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

EXAMPLE

1, 1, 3/5, 2/7, 3/25, 18/385, 1382/79625, 12/1925, 32553/14889875, 87734/116491375, 1047666/4094715625, 2796588/32534376875 = A059239/A059240.

MAPLE

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

MATHEMATICA

Numerator[Table[(1 - 2*n)*(-12)^n*BernoulliB[2*n]/(2*n)!, {n, 0, 25}]] (* G. C. Greubel, Jan 02 2017 *)

CROSSREFS

Cf. A059240.

Sequence in context: A059366 A298594 A092950 * A123170 A253381 A091806

Adjacent sequences:  A059236 A059237 A059238 * A059240 A059241 A059242

KEYWORD

nonn,easy,frac

AUTHOR

N. J. A. Sloane, Jan 21 2001

STATUS

approved

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Last modified July 17 20:45 EDT 2019. Contains 325109 sequences. (Running on oeis4.)