A076885 Let u(0)=1, u(1)=1 u(n) = u(n-1) + u(n-2) - n*z where z = (5-sqrt(5))/10 =0.27..., then a(n)=floor(u(n)).

1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22

Offset

0,6

Comments

u(n) diverges to + infinity if z<(5-sqrt(5))/10; - infinity if z>(5-sqrt(5))/10

Links

Table of n, a(n) for n=0..79.

Formula

a(n) = floor( (1/10)*(n*(5-sqrt(5)) - 15+3*sqrt(5))); u(n) - z*n -> (15-3*sqrt(5))/10

Crossrefs

Sequence in context: A140437 A226763 A050500 * A274024 A285189 A051889

Adjacent sequences: A076882 A076883 A076884 * A076886 A076887 A076888

Keyword

nonn

Author

Benoit Cloitre, Nov 25 2002

Status

approved