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A168259 Eigensequence of triangle A168258. Triangle A168258 * the diagonalized variant of A168259 = triangle A168270 having row sums = A168259. 3
1, 2, 6, 14, 38, 96, 254, 656, 1724, 4492, 11776, 30774, 80608, 210892, 552226, 1445374, 3784308, 9906482, 25936206 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n)/a(n-1) apparently tends to phi^2. a(19)/a(18) = 2.618104...

LINKS

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

P. Barry, Invariant number triangles, eigentriangles and Somos-4 sequences, arXiv preprint arXiv:1107.5490, 2011

FORMULA

Eigensequence of triangle A168258, derived from the following operation: Shift down triangle A168258, so that rows begin [1; 1; 1,1; 2,2,1;...] = triangle M. Then take Lim_{n->inf.} Q^n; resulting in a left-shifted vector. Delete the first 1, getting (1, 2, 6, 14, 38, 96,...) = A168259. . Q^n} Q tri.

CROSSREFS

Cf. A168258, A168260

Sequence in context: A026597 A122112 A190788 * A275208 A000634 A006654

Adjacent sequences:  A168256 A168257 A168258 * A168260 A168261 A168262

KEYWORD

eigen,nonn

AUTHOR

Gary W. Adamson, Nov 21 2009

STATUS

approved

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Last modified February 28 08:12 EST 2021. Contains 341695 sequences. (Running on oeis4.)