A233160 Number of 7Xn 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally

2187, 24576, 559872, 12754584, 310536504, 7663517136, 191184793128, 4789657390320, 120299942406312, 3025032724863000, 76113694540561176, 1915649874890128728, 48219906337917976512, 1213839370935153274752

Offset

1,1

Comments

Row 7 of A233155

Links

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

Formula

Empirical: a(n) = 55*a(n-1) -1066*a(n-2) +8965*a(n-3) -19778*a(n-4) -225541*a(n-5) +2020719*a(n-6) -6851286*a(n-7) +7381301*a(n-8) +20655503*a(n-9) -79401996*a(n-10) +80882723*a(n-11) +65337447*a(n-12) -222811374*a(n-13) +135953338*a(n-14) +120111164*a(n-15) -197698384*a(n-16) +43440564*a(n-17) +76879396*a(n-18) -52839536*a(n-19) -1810608*a(n-20) +13170096*a(n-21) -4166800*a(n-22) -433792*a(n-23) +532928*a(n-24) -126464*a(n-25) +13056*a(n-26) -512*a(n-27) for n>33

Example

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

Crossrefs

Sequence in context: A255628 A232287 A219134 * A269058 A217970 A209509

Adjacent sequences: A233157 A233158 A233159 * A233161 A233162 A233163

Keyword

nonn

Author

R. H. Hardin, Dec 05 2013

Status

approved