A311936 Coordination sequence Gal.6.300.2 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.

1, 4, 8, 13, 17, 22, 26, 31, 36, 40, 45, 48, 54, 57, 63, 62, 72, 74, 82, 83, 91, 91, 100, 100, 109, 102, 118, 117, 128, 126, 137, 134, 146, 143, 155, 142, 164, 160, 174, 169, 183, 177, 192, 186, 201, 182, 210, 203, 220, 212

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, Sep 24 2020: (Start)

a(n) = 2*a(n-10) - a(n-20) for n > 23.

G.f.: (-x^23 - x^21 + 2*x^20 + 3*x^19 + 10*x^18 + 12*x^17 + 20*x^16 + 18*x^15 + 29*x^14 + 31*x^13 + 38*x^12 + 40*x^11 + 43*x^10 + 40*x^9 + 36*x^8 + 31*x^7 + 26*x^6 + 22*x^5 + 17*x^4 + 13*x^3 + 8*x^2 + 4*x + 1)/(x^20 - 2*x^10 + 1). (End)

Crossrefs

Sequence in context: A311933 A311934 A311935 * A004081 A127264 A311937

Adjacent sequences: A311933 A311934 A311935 * A311937 A311938 A311939

Keyword

nonn

Author

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

Status

approved