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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). 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..65.

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

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Last modified August 9 04:39 EDT 2020. Contains 336319 sequences. (Running on oeis4.)