A076784 Let u(1)=u(2)=u(3)=1, u(n)=(2^floor(u(n-1)/2)+2^floor(u(n-2)/2)+1)/u(n-3) then a(n) = numerator of u(n).

1, 1, 1, 3, 4, 7, 13, 13, 1, 12, 12, 3, 13, 91, 13, 3, 12, 12, 1, 13, 13, 7, 4, 3, 1, 1, 1, 3, 4, 7, 13, 13, 1, 12, 12, 3, 13, 91, 13, 3, 12, 12, 1, 13, 13, 7, 4, 3, 1, 1, 1, 3, 4, 7, 13, 13, 1, 12, 12, 3, 13, 91, 13, 3, 12, 12, 1, 13, 13, 7, 4, 3, 1, 1, 1, 3, 4, 7, 13, 13, 1, 12, 12, 3, 13

Offset

1,4

Comments

Sequence is 24-periodic

Links

Table of n, a(n) for n=1..85.

Formula

Period is (1, 1, 1, 3, 4, 7, 13, 13, 1, 12, 12, 3, 13, 91, 13, 3, 12, 12, 1, 13, 13, 7, 4, 3)

Mathematica

PadRight[{}, 120, {1, 1, 1, 3, 4, 7, 13, 13, 1, 12, 12, 3, 13, 91, 13, 3, 12, 12, 1, 13, 13, 7, 4, 3}] (* Harvey P. Dale, May 27 2018 *)

Crossrefs

Cf. A076785.

Sequence in context: A231337 A049930 A102938 * A279815 A088764 A093124

Adjacent sequences: A076781 A076782 A076783 * A076785 A076786 A076787

Keyword

frac,nonn

Author

Benoit Cloitre, Nov 24 2002

Status

approved