A261272 From higher-order Bernoulli numbers: denominator of the D-number D2n(2n-1).

3, 5, 21, 45, 11, 1365, 45, 51, 399, 3465, 345, 20475, 189, 145, 7161, 58905, 105, 27417, 117, 6765, 148995, 108675, 329, 2436525, 65637, 26235, 21945, 4959, 177, 85180095, 135135, 60775, 1650411, 108675

Offset

1,1

Links

Gheorghe Coserea, Table of n, a(n) for n = 1..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. 463.

Index entries for sequences related to Bernoulli numbers.

Mathematica

NorlundD[nu_, n_] := (-2)^nu NorlundB[nu, n, n/2];
Table[NorlundD[2n, 2n-1] // Denominator, {n, 1, 34}] (* Jean-François Alcover, Jul 02 2019 *)

Prog

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

Crossrefs

Cf. A001905.

Sequence in context: A148552 A148553 A239795 * A319488 A110026 A235136

Adjacent sequences: A261269 A261270 A261271 * A261273 A261274 A261275

Keyword

nonn,frac

Author

Gheorghe Coserea, Aug 13 2015

Status

approved