A356837 - OEIS

A356837

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

1, 20, 260, 3212, 39470, 484760, 5953532, 73117640, 897985850, 11028509072, 135445355180, 1663456422080, 20429547136382, 250903113935780, 3081437496506420, 37844317258279532, 464780593592780450, 5708148959489987900, 70103969470537620692, 860973771077827270580

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

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

LINKS

Table of n, a(n) for n=0..19.

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

EXAMPLE

Each icosahedral cell has 20 neighbors, so a(1) = 20.

CROSSREFS

Sequence in context: A268764 A081244 A025966 * A041764 A022111 A025943

Adjacent sequences: A356834 A356835 A356836 * A356838 A356839 A356840

KEYWORD

nonn

AUTHOR

Eryk Kopczynski, Aug 31 2022

STATUS

approved