A356835 Coordination sequence of the {4,3,5} hyperbolic honeycomb.

1, 6, 30, 126, 498, 1982, 7854, 31014, 122562, 484422, 1914254, 7564542, 29893554, 118131966, 466827678, 1844789414, 7290156162, 28808903814, 113845717662, 449890341534, 1777856189330, 7025651266782, 27763649373966, 109715127592326, 433567254075330, 1713351367231142, 6770744053574286

Offset: 0

Author

Eryk Kopczynski, Aug 31 2022

Keywords

• nonn

Comments

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

Examples

			For example, each cell has 6 neighbors, so a(1) = 6.
Each of these has 6 neighbors -- 5 not counting the original cube -- so a(2)=30.
		

Links

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

Crossrefs

First differences of A247308.

Formula

a(n) = A247308(n) - A247308(n-1).