A067967 Number of binary arrangements without adjacent 1's on n X n hexagonal staggered torus shifted for odd n.
1, 5, 19, 217, 4076, 164258, 12285477, 1834600977, 527717587843, 296979228487760, 324881629286870822, 692625866382651263578, 2874716493700380888930840, 23237986479606982160703729647, 365788614113216462103977935612524, 11213018647250714014261414954480048385
Offset: 1
Keywords
Examples
Neighbors for n=4: :\|/ | \|/ | :-o--o--o--o- : | /|\ | /|\ :\|/ | \|/ | :-o--o--o--o- : | /|\ | /|\ :\|/ | \|/ | :-o--o--o--o- : | /|\ | /|\ :\|/ | \|/ | :-o--o--o--o- : | /|\ | /|\ Neighbors for n=5: :\|/ | \|/ | \| :-o--o--o--o--o- : | /|\ | /|\ |\ :\|/ | \|/ | \| :-o--o--o--o--o- : | /|\ | /|\ |\ :\|/ | \|/ | \| :-o--o--o--o--o- : | /|\ | /|\ |\ :\|/ | \|/ | \| :-o--o--o--o--o- : | /|\ | /|\ |\ :\|/ | \|/ | \| :-o--o--o--o--o- : | /|\ | /|\ |\
References
- Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 342-349.
Links
- Steven R. Finch, Hard Square Entropy Constant [Broken link]
- Steven R. Finch, Hard Square Entropy Constant [From the Wayback machine]
Crossrefs
For bent instead of shifted for odd n see A066865.
Extensions
More terms from Sean A. Irvine, Nov 18 2023