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A141590 Bisection of A120082. 8
1, 1, -1, 1, -1, 1, -691, 1, -3617, 43867, -174611, 77683, -236364091, 657931, -3392780147, 1723168255201, -7709321041217, 151628697551, -26315271553053477373, 154210205991661, -261082718496449122051, 1520097643918070802691, -2530297234481911294093 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

COMMENTS

Numerators of the Taylor expansion coefficients of the Debye function D(1,x) at the even powers of x.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..312

Kevin Acres, David Broadhurst, Eta quotients and Rademacher sums, arXiv:1810.07478 [math.NT], 2018.

FORMULA

a(n) = A120082(2n).

MAPLE

A141590 := proc(n) A120082(2*n) ; end: seq(A141590(n), n=0..30) ; # R. J. Mathar, Sep 03 2009

MATHEMATICA

a[0] = 1; a[n_] := Numerator[BernoulliB[2n]/(2n)]; Table[a[n], {n, 0, 30}] (* Jean-Fran├žois Alcover, Apr 08 2015 *)

PROG

(PARI) a(n) = if (n==0, 1, numerator(bernfrac(2*n)/(2*n))); \\ Michel Marcus, Feb 24 2015

CROSSREFS

Cf. A000367.

Sequence in context: A046968 A255505 A001067 * A276594 A283301 A046988

Adjacent sequences:  A141587 A141588 A141589 * A141591 A141592 A141593

KEYWORD

sign,frac

AUTHOR

Paul Curtz, Aug 20 2008

EXTENSIONS

Edited and extended by R. J. Mathar, Sep 03 2009

STATUS

approved

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Last modified August 22 05:00 EDT 2019. Contains 326172 sequences. (Running on oeis4.)