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A321330
Denominators of a Boas-Buck sequence for the triangular Sheffer matrix S2[3,1] = A282629.
1
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.
MATHEMATICA
a[n_] := Denominator[(-3)^(n+1)*BernoulliB[n+1]/(n+1)!]; Array[a, 30, 0] (* Amiram Eldar, Nov 15 2018 *)
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
Wolfdieter Lang, Nov 15 2018
STATUS
approved