A156618 Denominators of Egyptian fraction for Pi-3 whose partial sums are the convergents

7, -742, 11978, -3740526, 1099482930, -2202719155, 6600663644, -26413901692, 96840976853, -496325469560, 2346251883960, -44006595799206, 1345586183756654, -4127747481719463, 10251870941174304

Offset

0,1

Comments

Numerators are all 1.

Links

Table of n, a(n) for n=0..14.

Example

3+1/a(0)=22/7
3+1/a(0)+1/a(1)=333/106
3+1/a(0)+1/a(1)+1/a(2)=355/113

Prog

(PARI) c0=3; for (k=2, 30, m=contfracpnqn(contfrac(Pi, k)); c1=m[1, 1]/m[2, 1]; print1(1/(c1-c0), ", "); c0=c1; )

Crossrefs

Cf. A001466, A014013, A156019, A156020, A002485, A002486.

Sequence in context: A064571 A111476 A246107 * A027685 A248385 A242826

Adjacent sequences: A156615 A156616 A156617 * A156619 A156620 A156621

Keyword

sign

Author

Jaume Oliver Lafont, Feb 11 2009

Status

approved