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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
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
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
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Jun 12 2012
STATUS
approved