The On-Line Encyclopedia of Integer Sequences (OEIS)

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A321330

Denominators of a Boas-Buck sequence for the triangular Sheffer matrix S2[3,1] = A282629.
(history; published version)

#9 by Bruno Berselli at Fri Nov 16 04:54:06 EST 2018

STATUS

reviewed

approved

#8 by Peter Luschny at Fri Nov 16 03:13:15 EST 2018

STATUS

proposed

reviewed

#7 by Amiram Eldar at Thu Nov 15 19:39:33 EST 2018

STATUS

editing

proposed

#6 by Amiram Eldar at Thu Nov 15 19:39:31 EST 2018

MATHEMATICA

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

STATUS

proposed

editing

#5 by Amiram Eldar at Thu Nov 15 19:30:15 EST 2018

STATUS

editing

proposed

#4 by Amiram Eldar at Thu Nov 15 19:30:09 EST 2018

MATHEMATICA

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

STATUS

proposed

editing

#3 by Wolfdieter Lang at Thu Nov 15 12:21:04 EST 2018

STATUS

editing

proposed

#2 by Wolfdieter Lang at Thu Nov 15 12:09:43 EST 2018

NAME

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

DATA

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.

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.

CROSSREFS

Cf. A027641/A027642, A282629, A321329.

KEYWORD

allocated

nonn,frac,easy

AUTHOR

Wolfdieter Lang, Nov 15 2018

STATUS

approved

editing

#1 by Wolfdieter Lang at Mon Nov 05 08:07:58 EST 2018

NAME

allocated for Wolfdieter Lang

KEYWORD

allocated

STATUS

approved