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

1,2

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

Crossrefs

Sequence in context: A219401 A219449 A165842 * A004510 A199934 A335558

Adjacent sequences: A183735 A183736 A183737 * A183739 A183740 A183741

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 06 2011

Status

approved