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A310190 Coordination sequence Gal.5.19.2 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, 3, 7, 10, 14, 20, 21, 27, 28, 31, 37, 38, 44, 50, 49, 57, 56, 59, 67, 66, 74, 80, 77, 87, 84, 87, 97, 94, 104, 110, 105, 117, 112, 115, 127, 122, 134, 140, 133, 147, 140, 143, 157, 150, 164, 170, 161, 177, 168, 171 (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) = a(n-1) - a(n-4) + a(n-5) + a(n-8) - a(n-9) + a(n-12) - a(n-13) for n > 13.

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

CROSSREFS

Sequence in context: A310189 A293788 A319480 * A307203 A347638 A224880

Adjacent sequences:  A310187 A310188 A310189 * A310191 A310192 A310193

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified May 29 08:14 EDT 2022. Contains 354124 sequences. (Running on oeis4.)