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A168317 Eigensequence of triangle A168316 3
1, 1, 3, 6, 16, 39, 103, 263, 690, 1791, 4693, 12247, 32073, 83869, 219598, 574658, 1504540, 3938272, 10310703 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

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

LINKS

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

FORMULA

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.

CROSSREFS

Cf. A168316, A168318

Sequence in context: A279685 A001675 A248091 * A188442 A046211 A239980

Adjacent sequences:  A168314 A168315 A168316 * A168318 A168319 A168320

KEYWORD

eigen,nonn

AUTHOR

Gary W. Adamson, Nov 22 2009

STATUS

approved

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Last modified June 15 16:13 EDT 2019. Contains 324142 sequences. (Running on oeis4.)