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A310988 Coordination sequence Gal.4.16.3 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, 10, 14, 16, 23, 24, 31, 32, 34, 38, 40, 50, 48, 58, 56, 58, 62, 64, 77, 72, 85, 80, 82, 86, 88, 104, 96, 112, 104, 106, 110, 112, 131, 120, 139, 128, 130, 134, 136, 158, 144, 166, 152, 154, 158, 160, 185, 168 (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) = 2*a(n-7) - a(n-14) for n > 14.

G.f.: (x^14 + 4*x^13 + 8*x^12 + 10*x^11 + 14*x^10 + 16*x^9 + 23*x^8 + 22*x^7 + 23*x^6 + 16*x^5 + 14*x^4 + 10*x^3 + 8*x^2 + 4*x + 1)/(x^14 - 2*x^7 + 1). (End)

CROSSREFS

Sequence in context: A310987 A242483 A320497 * A161667 A339212 A063087

Adjacent sequences:  A310985 A310986 A310987 * A310989 A310990 A310991

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified November 28 16:42 EST 2021. Contains 349413 sequences. (Running on oeis4.)