A321330 Denominators of a Boas-Buck sequence for the triangular Sheffer matrix S2[3,1] = A282629.

2, 4, 1, 80, 1, 1120, 1, 44800, 1, 197120, 1, 1793792000, 1, 102502400, 1, 4879114240000, 1, 259568877568000, 1, 40789395046400000, 1, 238803367362560000, 1, 9561686829196902400000, 1, 1050734816395264000000, 1, 7922540515620290560000000, 1, 52951091790199773986816000000

Offset

0,1

Comments

The numerators are given A321329.

For the rationals beta see the example in A321329. The sequence alpha = {1, repeat(0)}.

For the Boas-Buck recurrence see A282629.

Links

Table of n, a(n) for n=0..29.

Formula

a(n) = denominator(beta(n)), with beta(n) = (-3)^{n+1}* B(n+1)/(n+1)!, where B(n) = A027641(n)/A027642(n) (Bernoulli).

The g.f. for {beta(n)}_{n>=0} is given in A321329.

Mathematica

a[n_] := Denominator[(-3)^(n+1)*BernoulliB[n+1]/(n+1)!]; Array[a, 30, 0] (* Amiram Eldar, Nov 15 2018 *)

Crossrefs

Cf. A027641/A027642, A282629, A321329.

Sequence in context: A152285 A009417 A009451 * A345080 A110176 A278886

Adjacent sequences: A321327 A321328 A321329 * A321331 A321332 A321333

Keyword

nonn,frac,easy

Author

Wolfdieter Lang, Nov 15 2018

Status

approved