A351966 Coordination sequence for the XXOXX tiling with respect to a tile of type G.

1, 8, 23, 46, 56, 79, 89, 113, 120, 147, 153, 181, 184, 215, 217, 249, 248, 283, 281, 317, 312, 351, 345, 385, 376, 419, 409, 453, 440, 487, 473, 521, 504, 555, 537, 589, 568, 623, 601, 657, 632, 691, 665, 725, 696, 759, 729, 793, 760, 827, 793, 861, 824, 895

Offset

0,2

Comments

See the main entry A350963 for details about this tiling.

Links

Table of n, a(n) for n=0..53.

Vytautas Gruslys, Imre Leader, and Ta Sheng Tan, Tiling with arbitrary tiles, arXiv:1505.03697 [math.CO], 2015-2016. A small piece of this tiling is shown in Fig. 2.

Rémy Sigrist, Illustration of initial terms

Rémy Sigrist, Illustration of the configuration for n = 0..100 with cyclic colors

Rémy Sigrist, PARI program

N. J. A. Sloane, A large portion of the tiling in higher resolution

Index entries for coordination sequences

Formula

Conjectured g.f.: -(-t^9+2*t^8+4*t^7-11*t^6-25*t^5-32*t^4-38*t^3-22*t^2-8*t-1)/((1-t^2)*(1-t^4)). - N. J. A. Sloane, Feb 26 2022

Prog

(PARI) See Links section.

Crossrefs

Cf. A350963 (type R), A351967 (type B).

Sequence in context: A139433 A226600 A178072 * A185257 A033951 A209992

Adjacent sequences: A351963 A351964 A351965 * A351967 A351968 A351969

Keyword

nonn

Author

Rémy Sigrist and N. J. A. Sloane, Feb 26 2022

Status

approved