A310117 - OEIS

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A310117

Coordination sequence Gal.5.20.1 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, 3, 6, 11, 18, 21, 23, 26, 29, 32, 39, 48, 49, 49, 52, 55, 58, 67, 78, 77, 75, 78, 81, 84, 95, 108, 105, 101, 104, 107, 110, 123, 138, 133, 127, 130, 133, 136, 151, 168, 161, 153, 156, 159, 162, 179, 198, 189, 179, 182

(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 10 2018: (Start)

a(n) = 2*a(n-7) - a(n-14) for n > 14.

G.f.: (x^14 + 3*x^13 + 7*x^12 + 12*x^11 + 17*x^10 + 20*x^9 + 23*x^8 + 24*x^7 + 23*x^6 + 21*x^5 + 18*x^4 + 11*x^3 + 6*x^2 + 3*x + 1)/(x^14 - 2*x^7 + 1). (End)

CROSSREFS

Sequence in context: A335631 A013932 A302550 * A161864 A351066 A310118

Adjacent sequences: A310114 A310115 A310116 * A310118 A310119 A310120

KEYWORD

nonn

AUTHOR

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

STATUS

approved