[seqfan] Re: OGF for A067687 (a seq. related to partitions)

[Paul D Hanna]

Joerg, 
     Your formula is the explicit form of the (equivalent) existing statement:   
 
Invert transform of right-shifted partition function (A000041). - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 14 2006 
 
---------- Original Message ----------
From: Joerg Arndt <arndt at jjj.de>
To: seqfan at list.seqfan.eu
Subject: [seqfan]  OGF for A067687 (a seq. related to partitions)
Date: Fri, 8 May 2009 15:16:43 +1000



x='x+O('x^55)
v=Vec( Ser( sum(n=0,33, x^(n)/eta(x)^n ) ) )
\\ gives
[1, 1, 2, 5, 12, 29, 69, 165, 393, 937, 2233, 5322, 12683, 30227,
72037, 171680, 409151, 975097, 2323870, 5538294, 13198973, 31456058,
74966710, 178662171, 425791279, 1014754341, 2418382956, 5763538903,
13735781840,  ...]

This appears to be:
A067687 Sums of the antidiagonals of the array formed by sequences ...

http://www.research.att.com/~njas/sequences/A067687





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