cp's OEIS Frontend

A197475 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 0,1,0,0,0 for x=0,1,2,3,4.

%I A197475 #7 Jun 02 2025 04:57:02
%S A197475 1,1,1,3,2,3,1,6,6,1,4,12,26,12,4,4,24,46,46,24,4,5,50,181,184,181,50,
%T A197475 5,8,98,374,748,748,374,98,8,9,194,1300,2824,5408,2824,1300,194,9,13,
%U A197475 394,2886,10934,22672,22672,10934,2886,394,13,17,786,9446,42474,151748
%N A197475 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 0,1,0,0,0 for x=0,1,2,3,4.
%C A197475 Every 0 is next to 0 0's, every 1 is next to 1 1's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 0's
%C A197475 Table starts
%C A197475 ..1...1.....3......1........4.........4...........5............8..............9
%C A197475 ..1...2.....6.....12.......24........50..........98..........194............394
%C A197475 ..3...6....26.....46......181.......374........1300.........2886...........9446
%C A197475 ..1..12....46....184......748......2824.......10934........42474.........164782
%C A197475 ..4..24...181....748.....5408.....22672......151748.......684002........4368923
%C A197475 ..4..50...374...2824....22672....165200.....1265828......9507212.......72145488
%C A197475 ..5..98..1300..10934...151748...1265828....16544206....145244408.....1830370547
%C A197475 ..8.194..2886..42474...684002...9507212...145244408...2117012786....31678990290
%C A197475 ..9.394..9446.164782..4368923..72145488..1830370547..31678990290...779857304215
%C A197475 .13.786.22060.638460.20344854.544829612.16537658774.466669377276.13814430334490
%H A197475 R. H. Hardin, <a href="/A197475/b197475.txt">Table of n, a(n) for n = 1..241</a>
%e A197475 Some solutions containing all values 0 to 4 for n=6 k=4
%e A197475 ..0..3..0..2....2..0..3..0....0..3..0..2....2..0..2..1....1..1..2..0
%e A197475 ..2..0..4..0....0..3..0..3....1..0..4..0....0..4..0..1....0..2..0..1
%e A197475 ..1..1..0..2....2..1..3..0....1..3..0..3....2..0..1..0....1..1..2..1
%e A197475 ..2..0..3..1....0..1..0..3....2..0..3..0....1..2..1..2....0..3..0..2
%e A197475 ..0..3..0..1....2..0..4..0....0..1..1..2....1..0..3..0....3..0..4..0
%e A197475 ..1..1..2..0....1..1..0..2....2..0..2..0....0..3..0..2....0..3..0..2
%Y A197475 Column 1 is A117374(n-2)
%K A197475 nonn,tabl
%O A197475 1,4
%A A197475 _R. H. Hardin_ Oct 15 2011