A280857 Number of nX6 0..2 arrays with no element equal to more than one of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

82, 1708, 678, 462, 491, 712, 1202, 2268, 4220, 7108, 11240, 17330, 26934, 43062, 70776, 117452, 193842, 316394, 511776, 825074, 1333130, 2163076, 3521462, 5738446, 9343090, 15187700, 24659768, 40027188, 64994524, 105599072, 171639520

Offset

1,1

Comments

Column 6 of A280859.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) -a(n-3) +a(n-4) +6*a(n-7) -5*a(n-8) +3*a(n-9) -3*a(n-10) -3*a(n-11) +2*a(n-12) -4*a(n-13) +a(n-14) -2*a(n-15) -2*a(n-16) for n>22

Example

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

Crossrefs

Cf. A280859.

Sequence in context: A093282 A085439 A282155 * A281603 A234253 A031606

Adjacent sequences: A280854 A280855 A280856 * A280858 A280859 A280860

Keyword

nonn

Author

R. H. Hardin, Jan 09 2017

Status

approved