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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 (list; graph; refs; listen; history; text; internal format)
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 one-column 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

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Last modified June 17 19:32 EDT 2021. Contains 345085 sequences. (Running on oeis4.)