A233687 Number of (n+1) X (4+1) 0..3 arrays with every 2 X 2 subblock having the sum of the squares of the edge differences equal to 10, and no two adjacent values equal.

1188, 13324, 145512, 1723204, 19588516, 233101508, 2662026560, 31690526268, 362156082980, 4311121344720, 49276352227832, 586529116562772, 6704848247564968, 79798491078174100, 912305401324724884

Offset

1,1

Comments

Column 4 of A233691.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 4*a(n-1) +222*a(n-2) -895*a(n-3) -14806*a(n-4) +61290*a(n-5) +479263*a(n-6) -2067766*a(n-7) -8897249*a(n-8) +40799029*a(n-9) +102512949*a(n-10) -513857547*a(n-11) -760171900*a(n-12) +4350919810*a(n-13) +3628256006*a(n-14) -25577829290*a(n-15) -10454924632*a(n-16) +106480049675*a(n-17) +12586615989*a(n-18) -317308345201*a(n-19) +27167936641*a(n-20) +679221981450*a(n-21) -157201990004*a(n-22) -1040817140533*a(n-23) +351215509546*a(n-24) +1129423930543*a(n-25) -469396649218*a(n-26) -850891317254*a(n-27) +403441486513*a(n-28) +431368323585*a(n-29) -223830914820*a(n-30) -140453027219*a(n-31) +77851050483*a(n-32) +27476109266*a(n-33) -16042803856*a(n-34) -2950519700*a(n-35) +1797075893*a(n-36) +152255054*a(n-37) -93497323*a(n-38) -3429989*a(n-39) +1518688*a(n-40) +74280*a(n-41).

Example

Some solutions for n=3:
..1..3..2..3..1....1..0..1..3..2....3..1..3..1..3....2..0..1..2..1
..0..2..0..1..0....0..2..0..2..0....2..0..2..0..1....1..2..3..1..3
..1..3..2..3..1....2..3..2..3..2....0..1..3..2..3....2..0..1..0..1
..2..1..3..1..0....3..1..0..1..0....2..0..1..0..2....3..2..3..2..3

Crossrefs

Sequence in context: A153378 A205230 A229539 * A233640 A252643 A158735

Adjacent sequences: A233684 A233685 A233686 * A233688 A233689 A233690

Keyword

nonn

Author

R. H. Hardin, Dec 14 2013

Status

approved