cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-1 of 1 results.

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

Original entry on oeis.org

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

Views

Author

Wolfdieter Lang, Nov 15 2018

Keywords

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.

Crossrefs

Cf. A027641/A027642, A282629, A321329.

Programs

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

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.
Showing 1-1 of 1 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.