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A261274 From higher-order Bernoulli numbers: denominator of D Number D2n(2n). 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 18 16:10 EDT 2021. Contains 347527 sequences. (Running on oeis4.)