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Search: id:A156618
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| A156618 |
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Denominators of Egyptian fraction for Pi-3 whose partial sums are the convergents |
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+0
4
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| 7, -742, 11978, -3740526, 1099482930, -2202719155, 6600663644, -26413901692, 96840976853, -496325469560, 2346251883960, -44006595799206, 1345586183756654, -4127747481719463, 10251870941174304
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Numerators are all 1.
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EXAMPLE
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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
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PROGRAM
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(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; )
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CROSSREFS
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Cf. A001466, A014013, A156019, A156020, A002485, A002486.
Sequence in context: A067448 A064571 A111476 this_sequence A027685 A112904 A137050
Adjacent sequences: A156615 A156616 A156617 this_sequence A156619 A156620 A156621
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KEYWORD
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sign
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AUTHOR
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Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Feb 11 2009
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