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A174111
Denominators of the image of a modified Bernoulli-number sequence under the Akiyama-Tanigawa transform.
3
2, 3, 2, 15, 6, 7, 6, 15, 10, 33, 6, 455, 210, 3, 2, 255, 30, 133, 42, 33, 110, 69, 6, 455, 546, 3, 2, 435, 30, 2387, 462
OFFSET
0,1
COMMENTS
The image of the sequence A164555(k)/A027642(k), k>=0, under the Takiyama-Tanigawa
transform is
1/2, 2/3, 1/2, 2/15, -1/6, -1/7, 1/6, 4/15, -3/10, -25/33, 5/6, 1382/455, -691/210, -49/3, 35/2, 28936/255, -3617/30, -131601/133, 43867/42, 349222/33, ...
The current sequence contains the denominators of this image.
LINKS
D. Merlini, R. Sprugnoli, M. C. Verri, The Akiyama-Tanigawa Transformation, Integers, 5 (1) (2005) #A05
MAPLE
read("transforms3") ;
A174111 := proc(n) Lin := [bernoulli(0), -bernoulli(1), seq(bernoulli(k), k=2..n+1)] ; AKIYATANI(Lin) ; denom(op(n+1, %)) ; end proc:
MATHEMATICA
b[0]=0; b[1]=1; b[2]=1/2; b[n_] := BernoulliB[n-1]; a[0, m_] := b[m+1]; a[n_, m_] := a[n, m] = (m+1)*(a[n-1, m] - a[n-1, m+1]); Table[a[1, m], {m, 0, 30}] // Denominator (* Jean-François Alcover, Aug 09 2012 *)
CROSSREFS
Cf. A174110 (numerators), A164661.
Sequence in context: A299700 A205441 A181350 * A367566 A164661 A104507
KEYWORD
nonn,frac
AUTHOR
Paul Curtz, Mar 08 2010
STATUS
approved