08/23/2010, 05:45 PM
Just for the record.
If we expand the numerators of the constant terms (1,1/4,-1/8,7/96,...) by powers of 2 and additionally by factorials then we get the sequence
1,1,2,7,36,246,2104,...
This sequence is also known in OEIS A007889 and related to some "esoteric" functions/sequences...
http://www.research.att.com/~njas/sequences/A007889
Gottfried
If we expand the numerators of the constant terms (1,1/4,-1/8,7/96,...) by powers of 2 and additionally by factorials then we get the sequence
1,1,2,7,36,246,2104,...
This sequence is also known in OEIS A007889 and related to some "esoteric" functions/sequences...
http://www.research.att.com/~njas/sequences/A007889
Gottfried
Gottfried Helms, Kassel