A224847 Position of first occurrence of n in the continued fraction for the Euler-Mascheroni constant (gamma).

1, 3, 8, 7, 10, 68, 23, 13, 138, 51, 21, 160, 9, 198, 336, 78, 162, 175, 383, 613, 182, 650, 136, 479, 249, 861, 553, 617, 286, 299, 1951, 165, 149, 2037, 559, 482, 1283, 680, 305, 19, 348, 1129, 2279, 1883, 1902, 2563, 4752, 716, 30, 2609, 567, 247, 2170, 7776

Offset

1,2

Comments

This sequence is the same as A033149, but uses correct [a_0; a_1, a_2, ...] indexing of continued fraction terms.

The smallest numbers not occurring in the first 4,851,382,841 terms of the c.f. are 27943, 33436, 33978, 34017, ... - Eric W. Weisstein, Jul 22 2013

Links

Eric W. Weisstein, Table of n, a(n) for n = 1..27942

Eric Weisstein's World of Mathematics, Euler-Mascheroni Constant Continued Fraction

Example

The c.f. for gamma is  A002852 = [0; 1, 1, 2, 1, 2, 1, 4, 3, 13, ...].
1 occurs first at term a_1
2 occurs first at term a_3.
3 occurs first at term a_8.
4 occurs first at term a_7.

Crossrefs

Cf. A033149(n) = a(n) + 1.

Cf. A002852 (continued fraction for Euler-Mascheroni constant).

Sequence in context: A011255 A342664 A101297 * A309153 A260310 A342662

Adjacent sequences: A224844 A224845 A224846 * A224848 A224849 A224850

Keyword

nonn

Author

Eric W. Weisstein, Jul 22 2013

Status

approved