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A356836
Coordination sequence of the {5,3,4} hyperbolic honeycomb.
0
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
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
KEYWORD
nonn
AUTHOR
Eryk Kopczynski, Aug 31 2022
STATUS
approved