A231319 Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order

216, 9600, 569184, 30645600, 1695860064, 93216760416, 5132640060000, 282526545904224, 15552808745472864, 856159949131740000, 47130503963700361056, 2594473391280336234336, 142822425161120289404256

Offset

1,1

Comments

Column 3 of A231324

Links

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

Formula

Empirical: a(n) = 57*a(n-1) +194*a(n-2) -16272*a(n-3) -50654*a(n-4) +1754012*a(n-5) +5241944*a(n-6) -96475568*a(n-7) -98407584*a(n-8) +2319538080*a(n-9) +20230624*a(n-10) -29255162752*a(n-11) +17323897856*a(n-12) +225620671744*a(n-13) -258160872704*a(n-14) -1110522717184*a(n-15) +2032863418368*a(n-16) +3190512078848*a(n-17) -9576311832576*a(n-18) -4024700600320*a(n-19) +29553678188544*a(n-20) -5539096297472*a(n-21) -61959824474112*a(n-22) +34977239007232*a(n-23) +85185755348992*a(n-24) -68609208483840*a(n-25) -75467489017856*a(n-26) +75009850605568*a(n-27) +41280625180672*a(n-28) -51374922399744*a(n-29) -11009074921472*a(n-30) +21444771708928*a(n-31) -498216206336*a(n-32) -4492535791616*a(n-33) +747324309504*a(n-34) +309237645312*a(n-35) -68719476736*a(n-36)

Example

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

Crossrefs

Sequence in context: A265845 A131643 A269139 * A269197 A259831 A269105

Adjacent sequences: A231316 A231317 A231318 * A231320 A231321 A231322

Keyword

nonn

Author

R. H. Hardin, Nov 07 2013

Status

approved