A196207 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,4,1 for x=0,1,2,3,4

8, 18, 17, 70, 135, 301, 751, 1774, 4243, 10211, 24823, 60093, 145378, 351699, 855562, 2076868, 5030512, 12211093, 29679181, 72051591, 174807032, 424556639, 1031502532, 2504434609, 6080193626, 14768788766, 35874049343, 87112767731

Offset

1,1

Comments

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

Column 5 of A196210

Links

R. H. Hardin, Table of n, a(n) for n = 1..250

Formula

Empirical: a(n) = 5*a(n-1) -8*a(n-2) +9*a(n-3) -12*a(n-4) -19*a(n-5) +49*a(n-6) +30*a(n-7) -58*a(n-8) -64*a(n-9) +48*a(n-10) +26*a(n-11) +140*a(n-12) -233*a(n-13) +158*a(n-14) -44*a(n-15) +183*a(n-16) -909*a(n-17) +641*a(n-18) +576*a(n-19) -625*a(n-20) +199*a(n-21) -562*a(n-22) +91*a(n-23) +37*a(n-24) +373*a(n-25) +87*a(n-26) -160*a(n-27) -200*a(n-28) +116*a(n-29) +59*a(n-30) +70*a(n-31) +95*a(n-32) -176*a(n-33) +143*a(n-34) -71*a(n-35) -33*a(n-36) +62*a(n-37) -60*a(n-38) +36*a(n-39) -8*a(n-40) for n>42

Example

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

Crossrefs

Sequence in context: A217424 A332969 A322031 * A196474 A251258 A101241

Adjacent sequences: A196204 A196205 A196206 * A196208 A196209 A196210

Keyword

nonn

Author

R. H. Hardin Sep 29 2011

Status

approved