A054781 First position of n in continued fraction for Khinchin's constant.

2, 1, 10, 47, 4, 34, 76, 65, 119, 11, 104, 27, 103, 110, 675, 80, 1080, 146, 142, 369, 246, 586, 679, 16, 1428, 1621, 1021, 1627, 64, 1342, 799, 157, 409, 506, 1406, 1783, 1445, 206, 3160, 300, 2683, 2037, 4207, 5204, 271, 523, 368, 7892, 2255, 72, 970

Offset: 1

Author

Hans Havermann, May 27 2000

Keywords

• nonn

Comments

Indexing of the terms is based on writing a c.f. as [a_1; a_2, a_3, ...]; the more standard convention of [a_0; a_1, a_2, ...] requires subtracting 1 from each term of the sequence.

Smallest positive integers not occurring in the first 106621 terms of the c.f. are 236, 260, 265, 279, 282, 290, 294, 297, 299, ... - Eric W. Weisstein, Oct 01 2011

Links

• H. Havermann, Simple Continued Fraction Expansion of Khinchin's Constant
• Eric Weisstein's World of Mathematics, Khinchin's Constant Continued Fraction.

Crossrefs

Cf. A224851 (= a(n) - 1).

Cf. A002211, A054866, A054870.

Formula

a(n) = A224851(n) + 1.