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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.
0
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
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.
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
KEYWORD
nonn
AUTHOR
STATUS
approved