A219399 Unchanging value maps: number of nX4 binary arrays indicating the locations of corresponding elements unequal to no king-move neighbor in a random 0..1 nX4 array

7, 7, 43, 165, 649, 2527, 10011, 39787, 157725, 623929, 2468377, 9771861, 38692747, 153187901, 606420643, 2400630287, 9503657933, 37623622731, 148945583497, 589647430651, 2334303207355, 9241081910623, 36583780864769, 144828561920695

Offset

1,1

Comments

Column 4 of A219403

Links

R. H. Hardin, Table of n, a(n) for n = 1..75

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +8*a(n-3) +19*a(n-4) -19*a(n-5) -17*a(n-6) +26*a(n-7) -13*a(n-8) -41*a(n-9) -11*a(n-10) -14*a(n-11) +18*a(n-12) +45*a(n-13) -11*a(n-14) -36*a(n-15) +8*a(n-16) +17*a(n-17) -5*a(n-18) -5*a(n-19) +2*a(n-20) for n>21

Example

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

Crossrefs

Sequence in context: A151791 A022667 A143430 * A219447 A271064 A173294

Adjacent sequences: A219396 A219397 A219398 * A219400 A219401 A219402

Keyword

nonn

Author

R. H. Hardin Nov 19 2012

Status

approved