A260328 Numerator of generalized Bernoulli number B_n^{(n-1)}.

1, -1, 19, -9, 4315, -1375, 237671, -114562, 9751299, -9458775, 150653570023, -24466579093, 1719676921651, -1681457720761, 111956703448001, -18293695492500, 515820397142126323, -168930583738812489, 234948724145929620551, -161867055619224199787, 146676714003698721466337

Offset

2,3

Links

Table of n, a(n) for n=2..22.

N. E. Nørlund, Vorlesungen ueber Differenzenrechnung, Springer 1924, p. 461.

N. E. Nörlund, Vorlesungen über Differenzenrechnung, Springer-Verlag, Berlin, 1924; page 461 [Annotated scanned copy of pages 144-151 and 456-463]

Mathematica

a[n_] := Integrate[(n-t-1)*Pochhammer[t-n+2, n-1], {t, 0, 1}]*(n-1) // Numerator;
a /@ Range[2, 12] (* Jean-François Alcover, Jan 24 2020, from the formula used in the bisections *)

Crossrefs

Denominators: A260329.

Bisections: A213450, A213448.

Sequence in context: A175674 A175675 A006232 * A122549 A039942 A269260

Adjacent sequences: A260325 A260326 A260327 * A260329 A260330 A260331

Keyword

sign,frac

Author

N. J. A. Sloane, Jul 25 2015

Extensions

More terms from Jean-François Alcover, Jan 25 2020

Status

approved