A280858 Number of nX7 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.

224, 6596, 1698, 1005, 968, 1202, 1738, 2877, 5244, 9569, 15872, 24653, 36954, 55077, 83190, 128817, 204084, 326793, 522262, 828099, 1300592, 2029441, 3159306, 4927841, 7712840, 12114811, 19061740, 29999825, 47157384, 74031085, 116080358

Offset

1,1

Comments

Column 7 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) -a(n-5) +2*a(n-6) -a(n-7) +6*a(n-8) -4*a(n-9) -4*a(n-12) -a(n-13) -2*a(n-14) -3*a(n-15) -3*a(n-16) +3*a(n-17) -3*a(n-18) +a(n-19) -a(n-20) +2*a(n-23) for n>29

Example

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

Crossrefs

Cf. A280859.

Sequence in context: A232804 A032802 A224431 * A281604 A007771 A229459

Adjacent sequences: A280855 A280856 A280857 * A280859 A280860 A280861

Keyword

nonn

Author

R. H. Hardin, Jan 09 2017

Status

approved