A310378 - OEIS

A310378

Coordination sequence Gal.6.320.1 where Gal.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.

1, 4, 10, 14, 18, 24, 28, 34, 38, 42, 48, 52, 56, 62, 66, 70, 76, 80, 86, 90, 94, 100, 104, 108, 114, 118, 122, 128, 132, 138, 142, 146, 152, 156, 160, 166, 170, 174, 180, 184, 190, 194, 198, 204, 208, 212, 218, 222, 226, 232

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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, May 04 2024: (Start)

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

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

CROSSREFS

Sequence in context: A310376 A310377 A298024 * A310379 A310380 A310381

Adjacent sequences: A310375 A310376 A310377 * A310379 A310380 A310381

KEYWORD

nonn

AUTHOR

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

STATUS

approved