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A213448 Numerators of higher order Bernoulli numbers.
(Formerly N2000)
2
1, 9, 1375, 114562, 9458775, 24466579093, 1681457720761, 18293695492500, 168930583738812489, 161867055619224199787, 48189699568363802160789, 192060902780872132330221667, 26975418307200573459970703125, 7644290462843582490448119097743 (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

A213448 := proc(n)

        local nu ;

        nu := 2*n+3 ;

        mul(t-i, i=0..nu-1) ;

        int(%, t=0..1)*(nu-1) ;

        abs(numer( %)) ;

end proc:

seq(A213448(n), n=0..15) ; # R. J. Mathar, Jun 26 2012

MATHEMATICA

a[n_] := With[{nu = 2n+3}, 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: A076704 A117053 A270067 * A120347 A230172 A231191

Adjacent sequences:  A213445 A213446 A213447 * A213449 A213450 A213451

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Jun 12 2012

STATUS

approved

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Last modified June 23 18:45 EDT 2021. Contains 345402 sequences. (Running on oeis4.)