A333279 Column 2 of triangle in A288187.

16, 56, 176, 388, 822, 1452, 2516, 3952, 6060, 8736, 12492, 17040, 23102, 30280, 39234, 49688, 62730, 77556, 95642, 115992, 139874, 166560, 197992, 232600, 272574, 316460, 366390, 420792, 482748, 549516, 624962, 706436, 796766, 893844, 1001074, 1115428

Offset

1,1

Comments

For the graphs defined in A331452 and A288187 only the counts for graphs that are one square wide have formulas for regions, edges, and vertices (see A306302, A331757, A331755). For width 2 there are six such sequences (A331766, A331765, A331763; A333279, A333280, A333281). It would be nice to have a formula for any one of them.

The maximum number of edges over all chambers is 4 for 1 <= n <= 4 and 5 for 5 <= n <= 160. - Lars Blomberg, May 23 2021

Links

Lars Blomberg, Table of n, a(n) for n = 1..200

Lars Blomberg, Colored illustration of a(1)

Lars Blomberg, Colored illustration of a(2)

Lars Blomberg, Colored illustration of a(3)

Lars Blomberg, Colored illustration of a(4)

Lars Blomberg, Colored illustration of a(5)

Lars Blomberg, Colored illustration of a(6)

Lars Blomberg, Colored illustration of a(7)

Lars Blomberg, Colored illustration of a(8)

Lars Blomberg, Colored illustration of a(9)

Hugo Pfoertner, Illustrations of Chamber Complexes up to 5 X 5.

Crossrefs

Cf. A331452, A288187; A331766, A331765, A331763; A333279, A333280, A333281.

Sequence in context: A279063 A331766 A231971 * A304692 A295986 A169882

Adjacent sequences: A333276 A333277 A333278 * A333280 A333281 A333282

Keyword

nonn

Author

Scott R. Shannon and N. J. A. Sloane, Mar 15 2020

Extensions

a(10) and beyond from Lars Blomberg, May 23 2021

Status

approved