A298788 Coordination sequence for bey tiling (or net) with respect to a trivalent node.

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

Rémy Sigrist, Table of n, a(n) for n = 0..1000

Reticular Chemistry Structure Resource (RCSR), The bey tiling (or net)

Rémy Sigrist, Illustration of the first terms

Rémy Sigrist, PARI program for A298788

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

Cf. A298789, A298790, A298791.

Sequence in context: A349888 A243705 A057927 * A056772 A024614 A230109

Adjacent sequences: A298785 A298786 A298787 * A298789 A298790 A298791

Keyword

nonn

Author

N. J. A. Sloane, Jan 27 2018

Extensions

More terms from Rémy Sigrist, Jan 28 2018

Status

approved