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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 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.)