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A332540 Numerators of coefficients in a series for Euler's constant gamma (negated). 2
3, 1, 1, 29, 67, 1507, 3121, 12703, 164551, 6344953, 147727471, 27529188163, 710710333, 271695249739, 1866529128749, 21255957303929, 908965802898697, 12844144201070519, 228917805573310159, 185233029315627847397, 104416844507809792139, 45256363943072384591371 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..21.

Iaroslav V. Blagouchine and Marc-Antoine Coppo, A note on some constants related to the zeta-function and their relationship with the Gregory coefficients, arXiv:1703.08601 [math.NT], 2017. Also The Ramanujan Journal 47.2 (2018): 457-473. See Cor. 2 to Th. 2.

Xavier Gourdon and Pascal Sebah, Collection of formulae for Euler's constant gamma.

FORMULA

The reference gives an explicit formula in terms of the Gregory numbers G_n = A002206/A002207.

gamma = 2*log(2*Pi) - Sum_{k>=0} A332540(k)/A332541(k). - Hugo Pfoertner, Feb 16 2020

MATHEMATICA

g[n_] := -(-1)^n*Sum[StirlingS1[n, j]/(j + 1), {j, 1, n}]/n!; Flatten[{3, Table[Numerator[2*Sum[g[k]*g[n + 2 - k], {k, 1, n}]/(n + 1)], {n, 1, 25}]}] (* Vaclav Kotesovec, Feb 16 2020 *)

CROSSREFS

Cf. A002206, A002207, A332541.

Cf. A001620 (Euler's constant gamma).

Sequence in context: A216922 A245243 A168242 * A215750 A126465 A077509

Adjacent sequences:  A332537 A332538 A332539 * A332541 A332542 A332543

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Feb 16 2020

EXTENSIONS

More terms from Vaclav Kotesovec, Feb 16 2020

STATUS

approved

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Last modified July 11 23:53 EDT 2020. Contains 335654 sequences. (Running on oeis4.)