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A311936 Coordination sequence Gal.6.300.2 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, 13, 17, 22, 26, 31, 36, 40, 45, 48, 54, 57, 63, 62, 72, 74, 82, 83, 91, 91, 100, 100, 109, 102, 118, 117, 128, 126, 137, 134, 146, 143, 155, 142, 164, 160, 174, 169, 183, 177, 192, 186, 201, 182, 210, 203, 220, 212 (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, Sep 24 2020: (Start)

a(n) = 2*a(n-10) - a(n-20) for n > 23.

G.f.: (-x^23 - x^21 + 2*x^20 + 3*x^19 + 10*x^18 + 12*x^17 + 20*x^16 + 18*x^15 + 29*x^14 + 31*x^13 + 38*x^12 + 40*x^11 + 43*x^10 + 40*x^9 + 36*x^8 + 31*x^7 + 26*x^6 + 22*x^5 + 17*x^4 + 13*x^3 + 8*x^2 + 4*x + 1)/(x^20 - 2*x^10 + 1). (End)

CROSSREFS

Sequence in context: A311933 A311934 A311935 * A004081 A127264 A311937

Adjacent sequences:  A311933 A311934 A311935 * A311937 A311938 A311939

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified October 16 05:09 EDT 2021. Contains 348035 sequences. (Running on oeis4.)