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A078976 Numerator of n-th convergent to e^(2/3). 1
1, 2, 37, 261, 298, 559, 5888, 318511, 5102064, 5420575, 10522639, 205350716, 18492087079, 462507527691, 480999614770, 943507142461, 26899199603678, 3390242657205889, 115295149544603904, 118685392201809793 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..20.

FORMULA

Special cases : a(5k+1)=A001518(3k); a(5k+3)=A001518(3k+2)

PROG

(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))

CROSSREFS

Cf. A069951, A001518, A007676, A078977.

Sequence in context: A139119 A244757 A053788 * A200911 A243101 A001569

Adjacent sequences:  A078973 A078974 A078975 * A078977 A078978 A078979

KEYWORD

frac,nonn

AUTHOR

Benoit Cloitre, Dec 19 2002

STATUS

approved

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Last modified November 20 00:42 EST 2017. Contains 294957 sequences.