

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
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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,...


LINKS

Table of n, a(n) for n=0..19.
Wikipedia, Leibniz series


MAPLE

L := [seq((1)^n/(2*n+1), n=0..20)] ;
read("transforms") ; BINOMIALi(L) ;
apply(numer, %) ; # R. J. Mathar, Jul 06 2011


CROSSREFS

Cf. A077595, A173294, A001803.
Sequence in context: A263239 A296015 A187452 * A077595 A201243 A092712
Adjacent sequences: A173293 A173294 A173295 * A173297 A173298 A173299


KEYWORD

frac,sign


AUTHOR

Paul Curtz, Feb 15 2010


EXTENSIONS

a(3) replaced by reduced numerator and a(5) onwards added by R. J. Mathar, Jul 06 2011


STATUS

approved



