|
| |
|
|
A332536
|
|
Numerators of coefficients in a series for the first Stieltjes constant gamma_1.
|
|
1
|
|
|
|
1, 5, 1313, 42169, 137969, 1128119, 8357708899, 4784812183, 6426498401023, 1290156663524207, 2967978587600828623, 40788897698984251631, 4438036185262071403841, 483740902966638267491, 13885929879719429182837579, 646524082127557655708798341
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
2,2
|
|
|
LINKS
|
Table of n, a(n) for n=2..17.
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 Th. 1.
|
|
|
FORMULA
|
The reference gives an explicit formula in terms of the Gregory numbers G_n = A002206/A002207.
|
|
|
MATHEMATICA
|
g[n_] := -(-1)^n*Sum[StirlingS1[n, j]/(j + 1), {j, 1, n}]/n!; Table[g[n]/n^2 + Sum[g[k]*g[n + 1 - k]*(HarmonicNumber[n] - HarmonicNumber[k])/(n + 1 - k), {k, 1, n - 1}], {n, 2, 20}] // Numerator (* Vaclav Kotesovec, Feb 16 2020 *)
|
|
|
CROSSREFS
|
Cf. A002206, A002207, A332537.
Sequence in context: A268485 A066162 A096725 * A172920 A062598 A203690
Adjacent sequences: A332533 A332534 A332535 * A332537 A332538 A332539
|
|
|
KEYWORD
|
nonn,frac
|
|
|
AUTHOR
|
N. J. A. Sloane, Feb 16 2020
|
|
|
EXTENSIONS
|
More terms from Vaclav Kotesovec, Feb 16 2020
|
|
|
STATUS
|
approved
|
| |
|
|
