A299911 Coordination sequence of point of type 3.3.3.4.4 in 3-uniform tiling #3.54 in the Galebach listing.

1, 5, 11, 16, 22, 29, 35, 38, 43, 51, 56, 60, 67, 75, 78, 81, 89, 96, 100, 105, 113, 118, 121, 127, 134, 140, 145, 151, 156, 161, 167, 172, 178, 185, 191, 194, 199, 207, 212, 216, 223, 231, 234, 237, 245, 252, 256, 261, 269, 274, 277, 283, 290, 296, 301, 307

Offset: 0

Author

N. J. A. Sloane, Mar 07 2018

Keywords

• nonn

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..2500
• Brian Galebach, Tiling 3.54
• Brian Galebach, Tiling 3.54 [Annotated figure showing the 3 kinds of points mentioned in A299909, A299910, A299911]
• Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers
• Printable Paper Web Site, Printable 3.3.3.3.3.3,3.3.4.3.4 Tessellation Small [Shows this tiling]
• Rémy Sigrist, PARI program for A299911

Crossrefs

See A299909, A299910 for the other two kinds of points.

Programs

PARI

\\ See Links section.

Formula

Conjectures from Chai Wah Wu, Jul 10 2025: (Start)

a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-7) - a(n-8) + a(n-9) - a(n-10) for n > 10.

G.f.: (x^2 + x + 1)*(x^8 + 3*x^7 + 3*x^6 + 3*x^5 + 6*x^4 + 3*x^3 + 3*x^2 + 3*x + 1)/(x^10 - x^9 + x^8 - x^7 - x^3 + x^2 - x + 1). (End)

Extensions

More terms from Rémy Sigrist, May 10 2021