A299092 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

4, 13, 20, 41, 101, 242, 578, 1385, 3368, 8216, 20014, 48885, 119555, 292427, 715827, 1753080, 4294103, 10521578, 25786055, 63204089, 154942532, 379879302, 931443529, 2284029958, 5601114152, 13736265904, 33688529855, 82624915345

Offset

1,1

Comments

Column 3 of A299097.

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) +4*a(n-3) -23*a(n-4) +18*a(n-5) -8*a(n-6) +47*a(n-7) -29*a(n-8) +26*a(n-9) -66*a(n-10) +17*a(n-11) -29*a(n-12) +46*a(n-13) -3*a(n-14) +18*a(n-15) -18*a(n-16) for n>17

Example

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

Crossrefs

Cf. A299097.

Sequence in context: A173512 A295159 A298216 * A299874 A299010 A299801

Adjacent sequences: A299089 A299090 A299091 * A299093 A299094 A299095

Keyword

nonn

Author

R. H. Hardin, Feb 02 2018

Status

approved