A196461 First position of n in the continued fraction's of Catalan's constant.

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

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 W. Weisstein, Table of n, a(n) for n = 1..31515

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 * A371764 A004502 A020512

Adjacent sequences: A196458 A196459 A196460 * A196462 A196463 A196464

Keyword

nonn,hard

Author

Eric W. Weisstein, Oct 02 2011

Status

approved