A196490 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,3,0,1,4 for x=0,1,2,3,4.

1, 9, 69, 435, 2862, 18661, 123151, 806609, 5276054, 34627688, 227088449, 1488439691, 9758458572, 63980053571, 419459699173, 2750044671305, 18029789774081, 118205954690054, 774976155585421, 5080869712707658

Offset: 1

Author

R. H. Hardin Oct 03 2011

Keywords

• nonn

Comments

Every 0 is next to 0 2's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 4's

Column 5 of A196493

Examples

			Some solutions for n=4
..1..3..1..0..0....0..0..0..0..0....1..3..1..0..0....0..1..1..3..1
..1..1..0..1..0....0..1..0..0..1....1..1..0..1..0....1..3..1..1..0
..3..1..1..3..0....0..3..1..1..3....3..1..0..3..1....1..3..1..0..0
..1..0..0..1..0....0..1..0..0..1....1..0..0..1..0....0..1..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = a(n-1) +10*a(n-2) +86*a(n-3) +344*a(n-4) +1091*a(n-5) +2504*a(n-6) +2535*a(n-7) -6549*a(n-8) -26096*a(n-9) -5622*a(n-10) +86691*a(n-11) +125139*a(n-12) -19371*a(n-13) -237308*a(n-14) -210244*a(n-15) +157889*a(n-16) +489355*a(n-17) +281472*a(n-18) -304610*a(n-19) -602529*a(n-20) -368077*a(n-21) +142066*a(n-22) +365760*a(n-23) +141524*a(n-24) -24857*a(n-25) -96625*a(n-26) -26330*a(n-27) +27091*a(n-28) +2541*a(n-29) -5991*a(n-30) -4515*a(n-31) +1810*a(n-32) +2341*a(n-33) +186*a(n-34) -311*a(n-35) -119*a(n-36) -18*a(n-37) +4*a(n-39) +a(n-40)