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Search: id:A078976
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| A078976 |
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Numerator of n-th convergent to e^(2/3). |
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+0
2
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| 1, 2, 37, 261, 298, 559, 5888, 318511, 5102064, 5420575, 10522639, 205350716, 18492087079, 462507527691, 480999614770, 943507142461, 26899199603678, 3390242657205889, 115295149544603904, 118685392201809793
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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Special cases : a(5k+1)=A001518(3k); a(5k+3)=A001518(3k+2)
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PROGRAM
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(PARI) a(n)=component(component(contfracpnqn(contfrac(exp(2/3), n)), 1), 1) (Warning: this will give only a limited number of correct terms, depending on the precision used. - The Editors, Oct 13 2009).
(PARI, better code)
default(realprecision, 100); /* large enough */
a(n)=contfracpnqn(contfrac(exp(2/3), n))[2, 1]
vector(30, n, a(n))
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CROSSREFS
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Cf. A069951, A001518, A007676, A078977.
Sequence in context: A134596 A139119 A053788 this_sequence A001569 A092853 A100849
Adjacent sequences: A078973 A078974 A078975 this_sequence A078977 A078978 A078979
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KEYWORD
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frac,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 19 2002
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