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A298788
Coordination sequence for bey tiling (or net) with respect to a trivalent node.
3
1, 3, 7, 12, 13, 17, 24, 23, 27, 36, 33, 37, 48, 43, 47, 60, 53, 57, 72, 63, 67, 84, 73, 77, 96, 83, 87, 108, 93, 97, 120, 103, 107, 132, 113, 117, 144, 123, 127, 156, 133, 137, 168, 143, 147, 180, 153, 157, 192, 163, 167, 204, 173, 177, 216, 183, 187, 228
OFFSET
0,2
LINKS
Reticular Chemistry Structure Resource (RCSR), The bey tiling (or net)
FORMULA
Conjectures from Colin Barker, Jan 29 2018: (Start)
G.f.: (1 + x)^2*(1 + x + 4*x^2 + x^3 + x^4) / ((1 - x)^2*(1 + x + x^2)^2).
a(n) = 2*a(n-3) - a(n-6) for n>6.
(End)
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jan 27 2018
EXTENSIONS
More terms from Rémy Sigrist, Jan 28 2018
STATUS
approved