A298082 Number of nX3 0..1 arrays with every element equal to 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.

0, 3, 0, 3, 1, 7, 18, 52, 144, 405, 1124, 3113, 8688, 24346, 68385, 192524, 542537, 1529960, 4316175, 12178973, 34370746, 97008377, 273813995, 772895361, 2181712563, 6158599574, 17384869895, 49075425772, 138534755824, 391070202040

Offset

1,2

Comments

Column 3 of A298087.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +2*a(n-2) -4*a(n-3) -11*a(n-4) +a(n-5) +15*a(n-6) +7*a(n-7) +a(n-8) -24*a(n-9) -39*a(n-10) +13*a(n-11) +32*a(n-12) +8*a(n-13) +5*a(n-14) -2*a(n-15) -2*a(n-16) for n>17

Example

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

Crossrefs

Cf. A298087.

Sequence in context: A322575 A166445 A374139 * A085919 A352613 A105824

Adjacent sequences: A298079 A298080 A298081 * A298083 A298084 A298085

Keyword

nonn

Author

R. H. Hardin, Jan 12 2018

Status

approved