A261274 From higher-order Bernoulli numbers: denominator of D Number D2n(2n).

1, 3, 15, 21, 45, 33, 1365, 45, 765, 1995, 3465, 1035, 20475, 189, 435, 7161, 58905, 315, 959595, 4095, 142065, 148995, 108675, 14805, 2436525, 65637, 78705, 21945, 24795, 2655, 85180095, 135135, 546975, 8252055

Offset

0,2

Links

Gheorghe Coserea, Table of n, a(n) for n = 0..200

Guodong Liu, A Recurrence Formula for D Numbers D2n(2n-1), Discrete Dynamics in Nature and Society, Volume 2009 (2009).

N. E. Nørlund, Vorlesungen über Differenzenrechnung Springer 1924, p. 462.

Index entries for sequences related to Bernoulli numbers.

Mathematica

NorlundD[nu_, n_] := (-2)^nu NorlundB[nu, n, n/2];
Table[NorlundD[2n, 2 n] // Denominator, {n, 0, 33}] (* Jean-François Alcover, Jul 02 2019 *)

Prog

(PARI) x='x+O('x^66); apply(denominator, select(i->i, Vec(serlaplace((x / log(x + sqrt(1+x^2))) / sqrt(1+x^2)))))

Crossrefs

Cf. A001904.

Sequence in context: A306771 A216521 A110172 * A014493 A147025 A147017

Adjacent sequences: A261271 A261272 A261273 * A261275 A261276 A261277

Keyword

nonn,frac

Author

Gheorghe Coserea, Aug 13 2015

Status

approved