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

1,1

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

Table of n, a(n) for n=1..51.

H. Havermann, Simple Continued Fraction Expansion of Khinchin's Constant

Eric Weisstein's World of Mathematics, Khinchin's Constant Continued Fraction.

Formula

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

Crossrefs

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

Cf. A002211, A054866, A054870.

Sequence in context: A133103 A336729 A304359 * A213421 A370068 A239070

Adjacent sequences: A054778 A054779 A054780 * A054782 A054783 A054784

Keyword

nonn

Author

Hans Havermann, May 27 2000

Status

approved