A230671 Number of nX4 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value 2-x(i,j)

9, 513, 18915, 730503, 28368687, 1100265795, 42681522741, 1655698076319, 64227455495727, 2491499259313149, 96649752790452639, 3749218360204902945, 145438947787185663525, 5641839307719342400131, 218857130513207098732227

Offset

1,1

Comments

Column 4 of A230675

Links

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

Formula

Empirical: a(n) = 37*a(n-1) +85*a(n-2) -427*a(n-3) -7212*a(n-4) +18333*a(n-5) -11460*a(n-6) -144161*a(n-7) +427156*a(n-8) -283771*a(n-9) -737876*a(n-10) +2778226*a(n-11) -6632316*a(n-12) +11370217*a(n-13) -12647443*a(n-14) +15533606*a(n-15) -15672799*a(n-16) +13230743*a(n-17) -12231559*a(n-18) +8238905*a(n-19) -5597330*a(n-20) +3725581*a(n-21) -1775475*a(n-22) +1133310*a(n-23) -535263*a(n-24) +157955*a(n-25) -84089*a(n-26) +33686*a(n-27) -7250*a(n-28) +372*a(n-29) +636*a(n-30) -360*a(n-31) +72*a(n-32)

Example

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

Crossrefs

Sequence in context: A180585 A102909 A367552 * A281443 A367446 A003398

Adjacent sequences: A230668 A230669 A230670 * A230672 A230673 A230674

Keyword

nonn

Author

R. H. Hardin, Oct 27 2013

Status

approved