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A311553 Coordination sequence Gal.6.133.1 where G.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings. 0
1, 4, 8, 12, 17, 23, 29, 35, 40, 44, 48, 52, 56, 60, 64, 69, 75, 81, 87, 92, 96, 100, 104, 108, 112, 116, 121, 127, 133, 139, 144, 148, 152, 156, 160, 164, 168, 173, 179, 185, 191, 196, 200, 204, 208, 212, 216, 220, 225, 231 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

LINKS

Table of n, a(n) for n=0..49.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

FORMULA

Conjectures from Chai Wah Wu, Jan 24 2020: (Start)

a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.

G.f.: (x^12 + 3*x^11 + 4*x^10 + 4*x^9 + 5*x^8 + 6*x^7 + 6*x^6 + 6*x^5 + 5*x^4 + 4*x^3 + 4*x^2 + 3*x + 1)/(x^12 - x^11 - x + 1). (End)

CROSSREFS

Sequence in context: A311550 A311551 A311552 * A311554 A340266 A194274

Adjacent sequences: A311550 A311551 A311552 * A311554 A311555 A311556

KEYWORD

nonn

AUTHOR

Brian Galebach and N. J. A. Sloane, Jun 18 2018

STATUS

approved

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Last modified January 29 04:38 EST 2023. Contains 359915 sequences. (Running on oeis4.)