A168317 Eigensequence of triangle A168316.

1, 1, 3, 6, 16, 39, 103, 263, 690, 1791, 4693, 12247, 32073, 83869, 219598, 574658, 1504540, 3938272, 10310703

Offset: 1

Author

Gary W. Adamson, Nov 22 2009

Keywords

• eigen
• nonn
• more

Comments

Conjectured convergent of a(n)/a(n-1) = phi^2 = 2.6180339... E.g.: a(19)/a(18) = 10310703/3938272 = 2.6180779....

Crossrefs

Cf. A104457, A168316, A168318.

Formula

Equals lim_{n->oo} M^2, the left shifted vector considered as a sequence where M = triangle A168316 as an infinite lower triangular matrix, then shifted down one row, and inserting a "1" at top.