A231447 Number of (n+1)X(4+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..3 introduced in row major order

7, 87, 1598, 33659, 738459, 16471575, 370059818, 8337875579, 188061528227, 4243377409271, 95760169469137, 2161131575055099, 48773753581494548, 1100764446612026879, 24842987212570658866, 560678221584425051945

Offset

1,1

Comments

Column 4 of A231451

Links

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

Formula

Empirical: a(n) = 63*a(n-1) -1701*a(n-2) +27757*a(n-3) -316177*a(n-4) +2706931*a(n-5) -18182096*a(n-6) +98496668*a(n-7) -438418031*a(n-8) +1624362789*a(n-9) -5056301359*a(n-10) +13307779095*a(n-11) -29722949270*a(n-12) +56384627702*a(n-13) -90659508911*a(n-14) +122926074051*a(n-15) -139425609644*a(n-16) +130854255072*a(n-17) -100299209183*a(n-18) +61893300843*a(n-19) -30284604171*a(n-20) +11542469409*a(n-21) -3335456880*a(n-22) +692222436*a(n-23) -91434096*a(n-24) +5668704*a(n-25)

Example

Some solutions for n=4
..0..0..0..1..1....0..0..1..1..2....0..0..1..1..2....0..0..1..1..1
..0..0..1..1..0....0..1..1..2..1....0..1..1..2..2....0..1..0..0..0
..1..1..0..0..1....2..2..2..1..2....0..0..2..2..3....1..0..0..0..0
..1..0..0..1..1....2..2..1..2..2....0..0..3..3..0....0..0..0..0..1
..0..0..1..1..1....1..1..2..2..2....0..3..3..0..0....0..0..0..1..1

Crossrefs

Sequence in context: A199027 A360237 A279845 * A020556 A303061 A007803

Adjacent sequences: A231444 A231445 A231446 * A231448 A231449 A231450

Keyword

nonn

Author

R. H. Hardin, Nov 09 2013

Status

approved