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A196461 First position of n in the continued fraction's of Catalan's constant. 1
1, 13, 14, 7, 45, 36, 10, 4, 21, 2, 17, 38, 200, 76, 234, 396, 84, 138, 690, 371, 278, 11, 164, 142, 967, 15, 514, 1214, 1612, 248, 1589, 2193, 53, 1159, 648, 2268, 288, 686, 809, 458, 803, 1235, 573, 707, 5455, 830, 1974, 1728, 3091, 2847, 441, 339, 741, 1778 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Smallest positive integers not appearing in the first 970278792 terms of the c.f. are 31516, 31591, 32600, 32806, ... - Eric W. Weisstein, Aug 08 2013
LINKS
Eric Weisstein's World of Mathematics, Catalan's Constant Continued Fraction
EXAMPLE
The simple continued fraction for Catalan's constant (A014538) is [0; 1, 10, 1, 8, 1, 88, 4, 1, 1, 7, 22, 1, 2, 3, ...], so
a(1) = 1 (first 1 occurs at term 1),
a(2) = 13 (first 2 occurs at term 13),
a(3) = 14 (first 3 occurs at term 14).
CROSSREFS
Cf. A014538 (continued fraction of Catalan's constant).
Sequence in context: A186070 A254069 A309990 * A004502 A020512 A337159
KEYWORD
nonn,hard
AUTHOR
Eric W. Weisstein, Oct 02 2011
STATUS
approved

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Last modified February 24 01:12 EST 2024. Contains 370288 sequences. (Running on oeis4.)