A213446 Numerators of higher order Bernoulli numbers. (Formerly N1674)

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

Offset

0,2

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

Table of n, a(n) for n=0..14.

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

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 *)

Crossrefs

Bisection (even indices) of A002657.

Sequence in context: A142202 A042219 A198600 * A276485 A308295 A060943

Adjacent sequences: A213443 A213444 A213445 * A213447 A213448 A213449

Keyword

nonn,frac

Author

N. J. A. Sloane, Jun 12 2012

Extensions

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

Status

approved