A183738 T(n,k) = 1/16 the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction.

0, 21, 21, 563, 290, 563, 9403, 13169, 13169, 9403, 135578, 550268, 469254, 550268, 135578, 1814815, 19849923, 32555965, 32555965, 19849923, 1814815, 23204876, 667017027, 2610816897, 3202350892, 2610816897, 667017027, 23204876, 287769879

Offset: 1

Author

R. H. Hardin, Jan 06 2011

Keywords

• nonn
• tabl

Comments

Adjacent blocks have the same sense when one uses a gap in a shared side as a fall and the other uses it as an increase.

Table starts

...........0.............21..............563..............9403

..........21............290............13169............550268

.........563..........13169...........469254..........32555965

........9403.........550268.........32555965........3202350892

......135578.......19849923.......2610816897......470757143497

.....1814815......667017027.....211915469907....85938883577009

....23204876....21320890377...16635894447271.16327766532728500

...287769879...659741463420.1270931982853879

..3491293862.19939380387212

.41667398364

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60