A072717 Let d(k) be the sequence whose values are in (1,2,3,4,5,6,7,8,9) and are such that the continued fraction for the decimal number D(n)=0.d(1)d(2)...d(n) has strictly more elements than the continued fraction for D(n-1)=0.d(1)d(2)...d(n-1) and d(n) is as small as possible. Sequence gives values of d(n)=a(n) for d(1)=1.

1, 2, 3, 4, 7, 3, 1, 7, 7, 1, 1, 3, 7, 1, 2, 2, 7

Offset

1,2

Comments

The continued fraction for D(3) = 0.123 is [0, 8, 7, 1, 2, 5] with 6 elements the continued fraction for 0.1234 is [0, 8, 9, 1, 1, 1, 3, 1, 1, 2] with 10 elements > 6 and 4 is the smallest number in (1,2,3,4,5,6,7,8,9), hence d(4)=a(4)=4.

Links

Table of n, a(n) for n=1..17.

Crossrefs

Sequence in context: A274767 A058315 A306352 * A139072 A021430 A297110

Adjacent sequences: A072714 A072715 A072716 * A072718 A072719 A072720

Keyword

fini,full,nonn,base

Author

Benoit Cloitre, Aug 07 2002

Status

approved