A174665 Sequence whose indices are based on the Fibonacci sequence as explained in comments.

1, 2, 3, 1, 6, 1, 2, 15, 1, 2, 3, 1, 42, 1, 2, 3, 1, 6, 1, 2, 123, 1, 2, 3, 1, 6, 1, 2, 15, 1, 2, 3, 1, 366, 1, 2, 3, 1, 6, 1, 2, 15, 1, 2, 3, 1, 42, 1, 2, 3, 1, 6, 1, 2

Offset

0,2

Comments

With the Fibonacci sequence A000045 without 0, i.e., here F(0)=1, F(1)=1, F(2)=2, F(3)=3, ..., this sequence satisfies: first condition: a(F(n+1)-1)=3*a(F(n)-1)-3 or a(F(n)-1)=(3^(n-2)+3)/2. second condition (recurrence): between a(F(n)-1) and a(F(n+1)-1), the first (F(n-1)-1) terms of the sequence are repeated. It seems that this sequence gives the numbers of 1 in the successive sets of 1 in the sequence A174664.

Links

Table of n, a(n) for n=0..53.

Example

a(F(4)-1) = a(4) = 6. a(F(5)-1) = a(7) = 15. Between 42=a(12) and 123=a(20) we obtain the first F(5)-1=7 terms: 1, 2, 3, 1, 6, 1, 2.

Crossrefs

Cf. A174353, A174664.

Sequence in context: A212275 A189036 A319952 * A256470 A318198 A335195

Adjacent sequences: A174662 A174663 A174664 * A174666 A174667 A174668

Keyword

nonn

Author

Richard Choulet, Mar 26 2010

Status

approved