A196743 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,3,1,0,4 for x=0,1,2,3,4

1, 17, 282, 2923, 35202, 400368, 4717086, 54734117, 637202902, 7415237912, 86331859442, 1004805781910, 11695057039086, 136127743720180, 1584471104135721, 18442469973189797, 214661809896066563

Offset

1,2

Comments

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

Column 5 of A196746

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +48*a(n-2) +249*a(n-3) +1324*a(n-4) -1586*a(n-5) -18815*a(n-6) +32177*a(n-7) +4771*a(n-8) -194757*a(n-9) +586475*a(n-10) -3010930*a(n-11) +6176894*a(n-12) -7086487*a(n-13) +3340131*a(n-14) +21671410*a(n-15) -51362754*a(n-16) +44500623*a(n-17) -52452436*a(n-18) -6859361*a(n-19) +180019589*a(n-20) +96345357*a(n-21) -178528876*a(n-22) -363701837*a(n-23) +70048301*a(n-24) +235920388*a(n-25) +152374008*a(n-26) -114975636*a(n-27) -161293662*a(n-28) -11155380*a(n-29) +37779430*a(n-30) +67501360*a(n-31) +1111963*a(n-32) +2275519*a(n-33) -12978903*a(n-34) -1574352*a(n-35) -816909*a(n-36) +877186*a(n-37) +442458*a(n-38) -130096*a(n-39) -2273*a(n-40) +1417*a(n-41) -3117*a(n-42) +595*a(n-43) -14*a(n-44) +a(n-45) +6*a(n-46) -a(n-47)

Example

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

Crossrefs

Sequence in context: A245940 A188063 A012235 * A196901 A171322 A078366

Adjacent sequences: A196740 A196741 A196742 * A196744 A196745 A196746

Keyword

nonn

Author

R. H. Hardin Oct 06 2011

Status

approved