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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. 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 20 02:19 EDT 2021. Contains 347577 sequences. (Running on oeis4.)