A079626 Let u(1)=u(2)=1, u(n)=abs(u(n-1)-3/2*u(n-2)); then a(n) is the exponent of 2 in denominator of u(n).

0, 0, 1, 0, 2, 2, 3, 0, 4, 4, 5, 4, 6, 6, 7, 4, 8, 8, 9, 8, 10, 10, 11, 10, 12, 12, 13, 9, 14, 14, 15, 14, 1, 6, 16, 17, 16, 18, 18, 19, 17, 20, 20, 21, 19, 22, 22, 23, 21, 24, 24, 25, 23, 26, 26, 27, 26, 28, 28, 29, 27, 30, 30, 31, 30, 32, 32, 33, 31, 34, 34, 35, 34, 36, 36, 37, 35

Offset

1,5

Comments

Does u(n) diverge to infinity?

Links

Table of n, a(n) for n=1..77.

Formula

a(n)<n/2, a(2n+1)=n+1.

Prog

(PARI) a=b=1; for(n=3, 100, c=abs(b-3*a/2); a=b; b=c; print1(valuation(denominator(c), 2), ", "))

Crossrefs

Sequence in context: A137345 A060755 A104594 * A257697 A088864 A330925

Adjacent sequences: A079623 A079624 A079625 * A079627 A079628 A079629

Keyword

nonn

Author

Benoit Cloitre, Jan 30 2003

Status

approved