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A173296
Numerators of the inverse binomial transform of the Leibniz series for Pi/4.
2
1, -4, 28, -96, 1328, -4672, 33472, -121856, 3597056, -13417472, 33655808, -127508480, 5829259264, -22308732928, 171393728512, -660468137984, 40831182635008, -22589996269568, 175323994652672, -681560447647744
OFFSET
0,2
COMMENTS
The series terms for Pi/4 are 1, -1/3, 1/5, -1/7, 1/9, -1/11, + ...
Its inverse binomial transform is 1, -4/3, 28/15, -96/35, 1328/315, -4672/693, + ...
MAPLE
L := [seq((-1)^n/(2*n+1), n=0..20)] ;
read("transforms") ; BINOMIALi(L) ;
apply(numer, %) ; # R. J. Mathar, Jul 06 2011
CROSSREFS
KEYWORD
frac,sign
AUTHOR
Paul Curtz, Feb 15 2010
EXTENSIONS
a(3) replaced with reduced numerator and a(5) onwards added by R. J. Mathar, Jul 06 2011
STATUS
approved