A228270 First position of n in the continued fraction of log(10).

4, 0, 1, 11, 18, 7, 44, 159, 74, 212, 260, 182, 43, 152, 59, 84, 40, 186, 27, 89, 927, 38, 20, 83, 277, 17, 101, 65, 194, 2244, 492, 779, 88, 632, 411, 634, 1090, 1624, 177, 228, 2358, 1720, 1502, 2809, 2933, 897, 1452, 6833, 5467, 1860, 126, 1010, 1908, 1789

Offset: 1

Author

Eric W. Weisstein, Aug 19 2013

Keywords

• nonn

Comments

Smallest positive integers not appearing in the first 9702786891 terms of the c.f. are 40230, 45952, 46178, 46530, ... - Eric W. Weisstein, Aug 28 2013

Links

• Eric W. Weisstein, Table of n, a(n) for n = 1.. 40229
• Eric Weisstein's World of Mathematics, Natural Logarithm of 10 Continued Fraction

Crossrefs

Cf. A016738 (continued fraction of log(10)).

Programs

Mathematica

Flatten[With[{cf=ContinuedFraction[Log[10],7000]},Table[SequencePosition[cf,{n},1][[All,1]],{n,60}]]]-1 (* Harvey P. Dale, Oct 09 2022 *)