1,3

Conjectured convergent of a(n)/a(n-1) = phi^2, 2.6180339...

a(19)/a(18) = 10310703/3938272 = 2.6180779....

Table of n, a(n) for n=1..19.

Let M = triangle A168316 as an infinite lower triangular matrix. Shift M

down one row, inserting a "1" at top. A168317 = Lim_{n->inf.} M^2, the

left shifted vector considered as a sequence.

Cf. A168316, A168318

Sequence in context: A279685 A001675 A248091 * A188442 A046211 A239980

Adjacent sequences: A168314 A168315 A168316 * A168318 A168319 A168320

eigen,nonn

Gary W. Adamson, Nov 22 2009

approved