A183738 - OEIS

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.

%I #7 Oct 06 2015 22:10:07

%S 0,21,21,563,290,563,9403,13169,13169,9403,135578,550268,469254,

%T 550268,135578,1814815,19849923,32555965,32555965,19849923,1814815,

%U 23204876,667017027,2610816897,3202350892,2610816897,667017027,23204876,287769879

%N 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.

%C 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.

%C Table starts

%C ...........0.............21..............563..............9403

%C ..........21............290............13169............550268

%C .........563..........13169...........469254..........32555965

%C ........9403.........550268.........32555965........3202350892

%C ......135578.......19849923.......2610816897......470757143497

%C .....1814815......667017027.....211915469907....85938883577009

%C ....23204876....21320890377...16635894447271.16327766532728500

%C ...287769879...659741463420.1270931982853879

%C ..3491293862.19939380387212

%C .41667398364

%H R. H. Hardin, <a href="/A183738/b183738.txt">Table of n, a(n) for n = 1..60</a>

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Jan 06 2011