A213446 Numerators of higher order Bernoulli numbers.

1, 5, 251, 19087, 1070017, 134211265, 703604254357, 8164168737599, 8092989203533249, 12600467236042756559, 8136836498467582599787, 440495080723071436695083, 11816334311483623162503196771, 19935908483981827227406276943, 239295997830894998532654988331179

Offset: 0

Author

N. J. A. Sloane, Jun 12 2012

Keywords

• nonn
• frac

Comments

See Nørlund for precise definition.

See A002657 which is the main entry for this sequence. - Peter Luschny, Oct 02 2016

References

• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

Links

• N. E. Nørlund, Vorlesungen über Differenzenrechnung, Springer, 1924, p. 461.

Crossrefs

Bisection (even indices) of A002657.

Programs

Maple

# Function B(n,x) defined in A213449.
A213446 := n -> numer(B(2*n,2*n)):
seq(A213446(n), n=0..14); # Peter Luschny, Oct 02 2016

Mathematica

a[n_] := Numerator[NorlundB[2n, 2n]];
Table[a[n], {n, 0, 14}] (* Jean-François Alcover, Jun 29 2019 *)

Extensions

More terms at the suggestion of Altug Alkan from Peter Luschny, Oct 02 2016