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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 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=0..30.

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-Fran├žois Alcover, Aug 09 2012 *)

CROSSREFS

Cf. A174110 (numerators), A164661.

Sequence in context: A299700 A205441 A181350 * A164661 A104507 A101033

Adjacent sequences:  A174108 A174109 A174110 * A174112 A174113 A174114

KEYWORD

nonn,frac

AUTHOR

Paul Curtz, Mar 08 2010

STATUS

approved

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Last modified September 17 09:00 EDT 2021. Contains 347478 sequences. (Running on oeis4.)