

A166966


Eigensequence of A047999, Sierpinski's gasket


4



1, 2, 3, 7, 8, 17, 27, 66, 67, 135, 204, 479, 553, 1182, 1889, 4641, 4642, 9285, 13929
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OFFSET

0,2


COMMENTS

Equals row sums of triangle A166967. Prefaced with a 1: (1, 1, 2, 3, 7, 8, 17,...) has an apparent parity of (1, 1, 0,...repeat).


LINKS

Table of n, a(n) for n=0..18.


FORMULA

Eigensequence of triangle A047999. Let triangle Q = a one row shifted down version of Sierpinski's gasket, placing a "1" at top. Perform Lim_{n>inf.} Q^n, resulting in a onecolumn vector [1, 1, 2, 3, 7,...]. Then delete the first "1", getting A166966: (1, 2, 3, 7, 8, 17,...).


CROSSREFS

Cf. A047999, A166967.
Sequence in context: A244508 A060121 A002964 * A247843 A181658 A251541
Adjacent sequences: A166963 A166964 A166965 * A166967 A166968 A166969


KEYWORD

nonn


AUTHOR

Gary W. Adamson, Oct 25 2009


STATUS

approved



