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A213450 Numerators of higher order Bernoulli numbers.
(Formerly N2200)
2
1, 19, 4315, 237671, 9751299, 150653570023, 1719676921651, 111956703448001, 515820397142126323, 234948724145929620551, 146676714003698721466337, 2335491919795216159716047077, 27307173331136364105327316225, 15462805586388260782721906167299 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See Nørlund for precise definition.

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..13.

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

MAPLE

A213450 := proc(n)

        local nu ;

        nu := 2*n+2 ;

        mul(t-i, i=0..nu-1) ;

        int(%, t=0..1)*(nu-1) ;

        abs(numer( %)) ;

end proc:

seq(A213450(n), n=0..15) ; # R. J. Mathar, Jun 26 2012

MATHEMATICA

a[n_] := With[{nu = 2n+2}, Integrate[Product[t-i, {i, 0, nu-1}], {t, 0, 1}]*(nu-1) // Numerator // Abs];

a /@ Range[0, 13] (* Jean-François Alcover, Jan 24 2020, after R. J. Mathar *)

CROSSREFS

Sequence in context: A125197 A238563 A281820 * A099809 A271588 A233464

Adjacent sequences:  A213447 A213448 A213449 * A213451 A213452 A213453

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Jun 12 2012

STATUS

approved

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Last modified September 28 10:48 EDT 2021. Contains 347714 sequences. (Running on oeis4.)