A301904 Number of nX6 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

1, 6, 7, 40, 92, 532, 1999, 10150, 46226, 234484, 1167106, 6013755, 31027951, 161979950, 848039052, 4458470286, 23481316334, 123866264459, 653972874084, 3454977358732, 18260006314624, 96532215568355, 510408646716334

Offset

1,2

Comments

Column 6 of A301906.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +22*a(n-2) -23*a(n-3) -132*a(n-4) -102*a(n-5) -188*a(n-6) +202*a(n-7) +1241*a(n-8) +242*a(n-9) -1952*a(n-10) -662*a(n-11) +1583*a(n-12) +498*a(n-13) -772*a(n-14) -182*a(n-15) +220*a(n-16) +31*a(n-17) -22*a(n-18) -7*a(n-19) +a(n-20) for n>21

Example

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

Crossrefs

Cf. A301906.

Sequence in context: A248850 A294728 A219212 * A152119 A041080 A042091

Adjacent sequences: A301901 A301902 A301903 * A301905 A301906 A301907

Keyword

nonn

Author

R. H. Hardin, Mar 28 2018

Status

approved