A196433 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,0,3,4 for x=0,1,2,3,4

6, 41, 213, 1283, 7358, 42604, 246463, 1427278, 8257394, 47782109, 276548288, 1600318316, 9261110693, 53594650946, 310152403800, 1794861048704, 10386914552975, 60109320907593, 347854219621911, 2013041621414557

Offset

1,1

Comments

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

Column 5 of A196436

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +10*a(n-2) +53*a(n-3) +82*a(n-4) +111*a(n-5) -129*a(n-6) -827*a(n-7) -1254*a(n-8) +2309*a(n-9) +2065*a(n-10) -3149*a(n-11) -3500*a(n-12) +4105*a(n-13) +5856*a(n-14) -8008*a(n-15) +1008*a(n-16) +5189*a(n-17) -1830*a(n-18) -2683*a(n-19) +2403*a(n-20) +8398*a(n-21) -10099*a(n-22) +2582*a(n-23) -6932*a(n-24) +4579*a(n-25) -1024*a(n-26) +641*a(n-27) -588*a(n-28) +234*a(n-29) -402*a(n-30) +159*a(n-31) -79*a(n-32) +60*a(n-33) -5*a(n-34) +3*a(n-35) -a(n-36)

Example

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

Crossrefs

Sequence in context: A371536 A291890 A217326 * A197196 A295117 A198795

Adjacent sequences: A196430 A196431 A196432 * A196434 A196435 A196436

Keyword

nonn

Author

R. H. Hardin Oct 02 2011

Status

approved