A356836 Coordination sequence of the {5,3,4} hyperbolic honeycomb.

1, 12, 102, 812, 6402, 50412, 396902, 3124812, 24601602, 193688012, 1524902502, 12005532012, 94519353602, 744149296812, 5858675020902, 46125250870412, 363143331942402, 2859021404668812, 22509027905408102, 177213201838596012, 1395196586803360002, 10984359492588284012

Offset

0,2

Comments

a(n) is the number of cells n steps from an (arbitrarily chosen) central cell in the {5,3,4} honeycomb.

Links

Table of n, a(n) for n=0..21.

Dorota Celińska-Kopczyńska and Eryk Kopczyński, Generating Regular Hyperbolic Honeycombs, arXiv:2208.13816 [cs.CG], 2022.

Formula

It appears thata(n) = 10*A095004(n) + 2. - Hugo Pfoertner, Aug 30 2022

Example

Each dodecahedral cell has 12 neighbors, so a(1) = 12.

Crossrefs

Cf. A076765, A095004, A356835.

Sequence in context: A082151 A125375 A217057 * A240462 A126533 A052148

Adjacent sequences: A356833 A356834 A356835 * A356837 A356838 A356839

Keyword

nonn

Author

Eryk Kopczynski, Aug 31 2022

Status

approved