

A164924


Denominators of Egyptian fraction for Pi/4 whose partial sums are the convergents


0



1, 4, 20, 45, 126, 3066, 98988, 14808876, 1088223045, 11017349070, 121040912274, 2384786370947, 45093873748908, 140317516983756, 553849385827045, 4262743007968170, 28759236845787534, 62522995423971463
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OFFSET

0,2


COMMENTS

11/4+1/201/45+1/126 = (22/7)/4
11/4+1/201/45+1/1261/3066+1/98988 = (355/113)/4


LINKS

Table of n, a(n) for n=0..17.


PROG

(PARI) c0=0; for (k=2, 30, m=contfracpnqn(contfrac(Pi/4, k)); c1=m[1, 1]/m[2, 1]; print1(1/(c1c0), ", "); c0=c1; )


CROSSREFS

Cf. A156618.
Sequence in context: A072977 A163365 A145194 * A033579 A160799 A187274
Adjacent sequences: A164921 A164922 A164923 * A164925 A164926 A164927


KEYWORD

frac,sign


AUTHOR

Jaume Oliver Lafont, Aug 31 2009


STATUS

approved



