login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A174110 Numerators of the image of the Akiyama-Tanigawa 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 (list; graph; refs; listen; history; text; internal format)
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 Takiyama-Tanigawa 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 Akiyama-Tanigawa Transformation, Integers, 5 (1) (2005) #A05

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}] // Numerator  (* Jean-Fran├žois 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)uni-jena.de), Jul 14 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 8 09:32 EST 2019. Contains 329862 sequences. (Running on oeis4.)