cp's OEIS Frontend

A183554 T(n,k)=Number of nXk 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

%I A183554 #7 Jul 22 2025 09:05:57
%S A183554 0,3,3,3,15,3,9,71,71,9,15,299,583,299,15,33,1325,5287,5287,1325,33,
%T A183554 63,5845,46841,95101,46841,5845,63,129,25785,417809,1728533,1728533,
%U A183554 417809,25785,129,255,113841,3721925,31363527,63868351,31363527,3721925,113841
%N A183554 T(n,k)=Number of nXk 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.
%C A183554 Table starts
%C A183554 ...0.......3..........3.............9...............15..................33
%C A183554 ...3......15.........71...........299.............1325................5845
%C A183554 ...3......71........583..........5287............46841..............417809
%C A183554 ...9.....299.......5287.........95101..........1728533............31363527
%C A183554 ..15....1325......46841.......1728533.........63868351..........2359134621
%C A183554 ..33....5845.....417809......31363527.......2359134621........177385265619
%C A183554 ..63...25785....3721925.....569461759......87176303417......13344696858771
%C A183554 .129..113841...33169105...10339213765....3221377019429....1003889179688773
%C A183554 .255..502523..295565367..187720469393..119037100116183...75519989933088273
%C A183554 .513.2218399.2633809823.3408294462361.4398697422258081.5681183354145927001
%H A183554 R. H. Hardin, <a href="/A183554/b183554.txt">Table of n, a(n) for n = 1..127</a>
%e A183554 Some solutions for 4X3
%e A183554 ..0..0..1....0..0..1....0..0..0....0..0..1....1..0..0....1..1..0....1..1..1
%e A183554 ..2..0..1....0..2..1....2..2..0....2..2..1....1..1..0....0..0..0....1..2..1
%e A183554 ..2..0..0....2..2..2....2..1..2....2..1..1....0..1..0....0..0..1....1..2..1
%e A183554 ..2..2..2....0..0..0....2..1..2....2..2..1....0..1..1....2..2..1....1..2..1
%Y A183554 Column 1 is A062510(n-1)
%K A183554 nonn,tabl
%O A183554 1,2
%A A183554 _R. H. Hardin_ Jan 05 2011