A096284 Numerator of the ratio of the preceding two terms.

2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2

Offset

3,1

Comments

The actual repeating sequence is 2,1,1/2,1/2,1,2,2,1,1/2,1/2,1,2...

Links

Table of n, a(n) for n=3..93.

Formula

Let a(1) = 1, a(2) = 2 then a(n) = a(n-2)/a(n-1) for n = 3, 4, 5... The sequence only posts the numerator of a(n).

Prog

(PARI) fibdiv(n) = { a = vector(1000); a[1] = 1; a[2] = 2; for(j=3, n, a[j] = a[j-1]/a[j-2]; print1(numerator(a[j])", ") ) }

Crossrefs

Sequence in context: A037828 A030419 A155052 * A163100 A139038 A322812

Adjacent sequences: A096281 A096282 A096283 * A096285 A096286 A096287

Keyword

nonn,frac

Author

Cino Hilliard, Jun 24 2004

Status

approved