A298503 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.

1, 12, 10, 50, 148, 493, 2093, 8047, 31951, 128472, 511830, 2047349, 8191875, 32754509, 131023111, 524086312, 2096237838, 8384859457, 33538726179, 134151944073, 536597656559, 2146347416764, 8585218405150, 34340195856617

Offset

1,2

Comments

Column 3 of A298508.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) +5*a(n-3) -25*a(n-4) +24*a(n-5) -23*a(n-6) +21*a(n-7) +44*a(n-8) -69*a(n-9) -5*a(n-10) +48*a(n-11) -26*a(n-12) +22*a(n-13) -10*a(n-14) -8*a(n-15) +4*a(n-16) for n>18

Example

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

Crossrefs

Cf. A298508.

Sequence in context: A094450 A307166 A297910 * A038336 A236506 A087868

Adjacent sequences: A298500 A298501 A298502 * A298504 A298505 A298506

Keyword

nonn

Author

R. H. Hardin, Jan 20 2018

Status

approved