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A213446 Numerators of higher order Bernoulli numbers.
(Formerly N1674)
1

%I N1674 #27 Jun 29 2019 06:30:12

%S 1,5,251,19087,1070017,134211265,703604254357,8164168737599,

%T 8092989203533249,12600467236042756559,8136836498467582599787,

%U 440495080723071436695083,11816334311483623162503196771,19935908483981827227406276943,239295997830894998532654988331179

%N Numerators of higher order Bernoulli numbers.

%C See Nørlund for precise definition.

%C See A002657 which is the main entry for this sequence. - _Peter Luschny_, Oct 02 2016

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%H N. E. Nørlund, <a href="https://eudml.org/doc/204170">Vorlesungen über Differenzenrechnung</a>, Springer, 1924, p. 461.

%p # Function B(n,x) defined in A213449.

%p A213446 := n -> numer(B(2*n,2*n)):

%p seq(A213446(n), n=0..14); # _Peter Luschny_, Oct 02 2016

%t a[n_] := Numerator[NorlundB[2n, 2n]];

%t Table[a[n], {n, 0, 14}] (* _Jean-François Alcover_, Jun 29 2019 *)

%Y Bisection (even indices) of A002657.

%K nonn,frac

%O 0,2

%A _N. J. A. Sloane_, Jun 12 2012

%E More terms at the suggestion of _Altug Alkan_ from _Peter Luschny_, Oct 02 2016

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Last modified May 19 14:45 EDT 2024. Contains 372698 sequences. (Running on oeis4.)