A299010 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

4, 13, 20, 44, 123, 343, 957, 2710, 7749, 22170, 63434, 181941, 521609, 1495695, 4290128, 12304541, 35291808, 101228002, 290349737, 832808429, 2388749945, 6851656946, 19652642153, 56369797674, 161685824712, 463764471339

Offset

1,1

Comments

Column 3 of A299015.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +5*a(n-3) -22*a(n-4) +14*a(n-5) -a(n-6) +24*a(n-7) -a(n-8) -38*a(n-9) +61*a(n-10) -84*a(n-11) +77*a(n-12) -89*a(n-13) +54*a(n-14) -20*a(n-15) +24*a(n-16) for n>17

Example

Some solutions for n=5
..0..1..0. .0..1..0. .0..1..0. .0..0..1. .0..0..0. .0..1..0. .0..0..1
..1..0..0. .0..1..0. .1..0..0. .1..1..0. .0..1..0. .1..0..0. .1..0..1
..1..0..0. .0..1..0. .0..0..0. .0..1..1. .0..0..0. .0..0..0. .0..0..1
..1..0..1. .0..1..0. .0..0..1. .1..1..1. .1..1..1. .0..0..1. .0..0..0
..1..0..0. .0..1..0. .0..1..0. .0..0..1. .1..0..1. .1..0..1. .0..1..1

Crossrefs

Cf. A299015.

Sequence in context: A298216 A299092 A299874 * A299801 A299677 A300309

Adjacent sequences: A299007 A299008 A299009 * A299011 A299012 A299013

Keyword

nonn

Author

R. H. Hardin, Jan 31 2018

Status

approved