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A251801 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

%I A251801 #6 Jun 02 2025 10:32:19
%S A251801 150,1080,1740,6627,28932,19269,36552,348679,724300,216912,187000,
%T A251801 3352272,17195593,18577404,2430631,905440,27291608,294088336,
%U A251801 873945739,474547100,27278035,4206453,195753488,3934266515,26787273856,44356434596
%N A251801 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.
%C A251801 Table starts
%C A251801 .......150.........1080............6627.............36552..............187000
%C A251801 ......1740........28932..........348679...........3352272............27291608
%C A251801 .....19269.......724300........17195593.........294088336..........3934266515
%C A251801 ....216912.....18577404.......873945739.......26787273856........594938582014
%C A251801 ...2430631....474547100.....44356434596.....2446811684440......90717637876583
%C A251801 ..27278035..12140516092...2255553135793...224175608341756...13902663302194715
%C A251801 .305991368.310512400748.114701510008550.20552060379396424.2134102396738819286
%H A251801 R. H. Hardin, <a href="/A251801/b251801.txt">Table of n, a(n) for n = 1..112</a>
%F A251801 Empirical for column k:
%F A251801 k=1: [linear recurrence of order 7]
%F A251801 k=2: [order 20]
%F A251801 Empirical for row n:
%F A251801 n=1: [linear recurrence of order 7]
%F A251801 n=2: [order 22]
%F A251801 n=3: [order 40]
%F A251801 n=4: [order 52]
%e A251801 Some solutions for n=2 k=4
%e A251801 ..0..2..0..0..2....0..2..2..3..1....0..0..0..3..3....0..0..2..1..1
%e A251801 ..0..0..2..2..3....0..0..0..1..3....0..0..2..1..3....0..2..0..2..3
%e A251801 ..2..2..1..3..3....0..1..3..2..2....0..0..1..3..3....2..0..3..3..3
%Y A251801 Column 1 is A184665
%Y A251801 Row 1 is A223069(n+1)
%K A251801 nonn,tabl
%O A251801 1,1
%A A251801 _R. H. Hardin_, Dec 09 2014