A298789 Coordination sequence for bey tiling (or net) with respect to a tetravalent node.

1, 4, 7, 10, 15, 18, 20, 26, 29, 30, 37, 40, 40, 48, 51, 50, 59, 62, 60, 70, 73, 70, 81, 84, 80, 92, 95, 90, 103, 106, 100, 114, 117, 110, 125, 128, 120, 136, 139, 130, 147, 150, 140, 158, 161, 150, 169, 172, 160, 180, 183, 170, 191, 194, 180, 202, 205, 190

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 A298789

Formula

Conjectures from Colin Barker, Jan 29 2018: (Start)

G.f.: (1 + x)^4*(1 + x^2) / ((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. A298788, A298790, A298791.

Sequence in context: A310701 A310702 A310703 * A064368 A026372 A014690

Adjacent sequences: A298786 A298787 A298788 * A298790 A298791 A298792

Keyword

nonn

Author

N. J. A. Sloane, Jan 27 2018

Extensions

More terms from Rémy Sigrist, Jan 28 2018

Status

approved