

A174110


Numerators of the image of the AkiyamaTanigawa transform applied to the second Bernoulli numbers.


3



1, 2, 1, 2, 1, 1, 1, 4, 3, 25, 5, 1382, 691, 49, 35, 28936, 3617, 131601, 43867, 349222, 1222277, 9399643, 854513, 945456364, 1181820455, 111190339, 76977927, 332492454406, 23749461029, 43079206380025, 8615841276005
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OFFSET

0,2


COMMENTS

Start from a row of modified Bernoulli numbers A164555(k)/A027642(k), namely,
1/1, 1/2, 1/6, 0/1, 1/30, 0/1, 1/42, 0/1, 1/30, ... .
Applying the TakiyamaTanigawa transformation to this sequence results in
1/2, 2/3, 1/2, 2/15, 1/6, 1/7, 1/6, 4/15, 3/10, 25/33, 5/6, ... .
The current sequence contains the numerators of this image of the transform.


LINKS

Table of n, a(n) for n=0..30.
D. Merlini, R. Sprugnoli, M. C. Verri, The AkiyamaTanigawa Transformation, Integers, 5 (1) (2005) #A05


MATHEMATICA

b[0]=0; b[1]=1; b[2]=1/2; b[n_] := BernoulliB[n1]; a[0, m_] := b[m+1]; a[n_, m_] := a[n, m] = (m+1)*(a[n1, m]  a[n1, m+1]); Table[a[1, m], {m, 0, 30}] // Numerator (* JeanFrançois Alcover, Aug 09 2012 *)


CROSSREFS

Sequence in context: A091318 A198898 A003639 * A264969 A320301 A324510
Adjacent sequences: A174107 A174108 A174109 * A174111 A174112 A174113


KEYWORD

sign,frac


AUTHOR

Paul Curtz, Mar 08 2010


EXTENSIONS

Values corrected by Lisa Schreiber (lisa.schreiber(AT)unijena.de), Jul 14 2010


STATUS

approved



