cp's OEIS Frontend

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 A183738 #7 Oct 06 2015 22:10:07
%S A183738 0,21,21,563,290,563,9403,13169,13169,9403,135578,550268,469254,
%T A183738 550268,135578,1814815,19849923,32555965,32555965,19849923,1814815,
%U A183738 23204876,667017027,2610816897,3202350892,2610816897,667017027,23204876,287769879
%N 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.
%C A183738 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 A183738 Table starts
%C A183738 ...........0.............21..............563..............9403
%C A183738 ..........21............290............13169............550268
%C A183738 .........563..........13169...........469254..........32555965
%C A183738 ........9403.........550268.........32555965........3202350892
%C A183738 ......135578.......19849923.......2610816897......470757143497
%C A183738 .....1814815......667017027.....211915469907....85938883577009
%C A183738 ....23204876....21320890377...16635894447271.16327766532728500
%C A183738 ...287769879...659741463420.1270931982853879
%C A183738 ..3491293862.19939380387212
%C A183738 .41667398364
%H A183738 R. H. Hardin, <a href="/A183738/b183738.txt">Table of n, a(n) for n = 1..60</a>
%K A183738 nonn,tabl
%O A183738 1,2
%A A183738 _R. H. Hardin_, Jan 06 2011