A105736 For n>2, a(n) > 0 is such that a(n-1)^2+4*a(n-2)*a(n) is a minimal square, a(1)=1,a(2)=3.

1, 3, 4, 4, 3, 1, 2, 3, 2, 1, 1, 2, 3, 2, 1, 1

Offset

1,2

Comments

The sequence depends on seed terms a(1) and a(2); if a(1)=1, a(3)=a(2)+1. All(?) sequences end with cycle={1,2,3,2,1} (or {2,4,6,4,2}, which essentially the same cycle) of length=5. This particular sequence merges with A105734, starting with 6th term = 1.

Links

Table of n, a(n) for n=1..16.

Crossrefs

Cf. A105734 - A105746.

Sequence in context: A106290 A249618 A073498 * A248158 A360268 A090283

Adjacent sequences: A105733 A105734 A105735 * A105737 A105738 A105739

Keyword

nonn

Author

Zak Seidov, Apr 19 2005

Status

approved