A298377 Number of n X 3 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.

1, 7, 6, 18, 30, 87, 200, 522, 1421, 3805, 10578, 29465, 82498, 232593, 656577, 1858073, 5265011, 14930674, 42368708, 120274026, 341518697, 969915776, 2754886812, 7825418473, 22229715609, 63150286472, 179401787689, 509665128216

Offset

1,2

Comments

Column 3 of A298382.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +3*a(n-2) -6*a(n-3) -16*a(n-4) +6*a(n-5) +23*a(n-6) +16*a(n-7) -13*a(n-8) -40*a(n-9) -50*a(n-10) +14*a(n-11) +106*a(n-12) +53*a(n-13) -18*a(n-14) -38*a(n-15) -34*a(n-16) -8*a(n-17) for n>18.

Example

Some solutions for n=7
..0..0..0. .0..0..1. .0..1..1. .0..1..0. .0..0..0. .0..1..0. .0..0..0
..1..0..1. .0..1..1. .1..1..0. .0..0..0. .0..0..0. .0..0..0. .1..0..1
..1..1..1. .0..1..0. .0..1..1. .0..1..0. .1..1..1. .0..1..0. .1..1..1
..1..0..1. .0..0..0. .1..1..0. .1..1..0. .0..1..0. .1..1..0. .1..0..1
..0..1..0. .0..1..0. .0..0..0. .0..1..0. .1..1..1. .0..1..0. .1..0..0
..0..0..0. .0..1..1. .0..1..0. .0..0..0. .1..0..1. .0..0..0. .1..1..1
..0..1..0. .0..0..1. .1..1..1. .1..0..1. .0..0..0. .0..1..0. .1..0..1

Crossrefs

Cf. A298382.

Sequence in context: A099255 A198460 A215334 * A299244 A249114 A275372

Adjacent sequences: A298374 A298375 A298376 * A298378 A298379 A298380

Keyword

nonn

Author

R. H. Hardin, Jan 18 2018

Status

approved