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A310508 Coordination sequence Gal.4.123.1 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, 24, 29, 36, 42, 46, 48, 54, 62, 68, 71, 72, 79, 88, 94, 96, 96, 104, 114, 120, 121, 120, 129, 140, 146, 146, 144, 154, 166, 172, 171, 168, 179, 192, 198, 196, 192, 204, 218, 224, 221, 216, 229, 244, 250, 246 (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-5) - a(n-10) for n > 10.

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

CROSSREFS

Sequence in context: A224391 A224024 A117111 * A310509 A310510 A310511

Adjacent sequences:  A310505 A310506 A310507 * A310509 A310510 A310511

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified January 23 12:51 EST 2022. Contains 350511 sequences. (Running on oeis4.)