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A213447 Numerators of higher order Bernoulli numbers.
(Formerly N1999)
2
1, 9, 475, 36799, 2082753, 262747265, 1382741929621, 5362709743125, 15980174332775873, 24919383499187492303, 5370601980438646999929, 4365522871220234892455639, 23440607720186374192676171875, 277027686598268613994459361577 (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 and p. 147.

MAPLE

A213447 := proc(n)

        local nu ;

        nu := 2*n+1 ;

        mul(t-i, i=1..nu) ;

        int(%, t=0..1) ;

        abs(numer( %)) ;

end proc:

seq(A213447(n), n=0..15) ; # R. J. Mathar, Jun 26 2012

MATHEMATICA

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

a /@ Range[0, 13] (* Jean-François Alcover, Apr 04 2020 *)

CROSSREFS

Sequence in context: A061175 A289054 A166879 * A128947 A293951 A267236

Adjacent sequences:  A213444 A213445 A213446 * A213448 A213449 A213450

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Jun 12 2012

STATUS

approved

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Last modified July 27 18:27 EDT 2021. Contains 346308 sequences. (Running on oeis4.)