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A310512 Coordination sequence Gal.6.352.1 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, 10, 16, 21, 26, 31, 36, 42, 48, 52, 56, 62, 68, 73, 78, 83, 88, 94, 100, 104, 108, 114, 120, 125, 130, 135, 140, 146, 152, 156, 160, 166, 172, 177, 182, 187, 192, 198, 204, 208, 212, 218, 224, 229, 234, 239, 244, 250, 256 (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) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - 2*a(n-6) + 2*a(n-7) - 2*a(n-8) + 2*a(n-9) - a(n-10) for n > 10.

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

CROSSREFS

Sequence in context: A310509 A310510 A310511 * A310513 A081260 A310514

Adjacent sequences:  A310509 A310510 A310511 * A310513 A310514 A310515

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified June 26 22:46 EDT 2022. Contains 354885 sequences. (Running on oeis4.)