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A260328 - OEIS
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A260328
Numerator of generalized Bernoulli number B_n^{(n-1)}.
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
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
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Jul 25 2015
EXTENSIONS
More terms from Jean-François Alcover, Jan 25 2020
STATUS
approved