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A311075 Coordination sequence Gal.6.72.4 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, 11, 18, 19, 27, 29, 33, 38, 43, 47, 50, 55, 59, 64, 68, 72, 75, 83, 84, 89, 94, 96, 104, 105, 111, 114, 120, 124, 126, 133, 135, 141, 145, 148, 153, 159, 161, 166, 170, 174, 180, 182, 188, 190, 198, 200, 203, 210 (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, Dec 24 2019: (Start)

a(n) = a(n-5) + a(n-9) - a(n-14) for n > 15.

G.f.: (-2*x^15 + 3*x^14 + 4*x^13 + 10*x^12 + 12*x^11 + 20*x^10 + 19*x^9 + 22*x^8 + 21*x^7 + 23*x^6 + 18*x^5 + 18*x^4 + 11*x^3 + 8*x^2 + 4*x + 1)/(x^14 - x^9 - x^5 + 1). (End)

CROSSREFS

Sequence in context: A104655 A309192 A046898 * A311076 A171070 A214970

Adjacent sequences:  A311072 A311073 A311074 * A311076 A311077 A311078

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified July 8 19:20 EDT 2020. Contains 335524 sequences. (Running on oeis4.)