A073098 a(1)=2, a(n) is the smallest positive integer such that the continued fraction for 1/a(1)+1/a(2)+....+1/a(n) contains strictly more elements than the continued fraction for 1/a(1)+1/a(2)+....+1/a(n-1).

2, 3, 11, 2, 5, 6, 13, 17, 6, 2, 7, 11, 23, 18, 3, 8, 2, 73, 7, 31, 2, 22, 201, 71, 19, 29, 23, 19, 139, 59, 37, 43, 15, 263, 17, 131, 71, 16, 257, 6, 227, 363, 191, 83, 16, 113, 123, 234, 178, 457, 197, 106, 38, 8, 208, 173, 29, 895, 515, 313, 162, 808, 1996, 622, 274

Offset

1,1

Links

Sean A. Irvine, Table of n, a(n) for n = 1..233

Example

The continued fraction for 1/a(1)+1/a(2)+1/a(3)+1/a(4) is [1, 2, 2, 1, 4] with 5 elements. The continued fraction for (1/2+1/3+1/11+1/2+1/5) is [1, 1, 1, 1, 1, 1, 20] which contains 7 elements and 5 is the smallest integer with this property, hence a(5)=5.

Crossrefs

Sequence in context: A111788 A238455 A098929 * A201267 A046641 A336876

Adjacent sequences: A073095 A073096 A073097 * A073099 A073100 A073101

Keyword

nonn

Author

Benoit Cloitre, Aug 18 2002

Status

approved