A269189 Number of nX3 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once.
60, 708, 9284, 115452, 1399612, 16629436, 194596516, 2249848972, 25758552060, 292530733516, 3299601105860, 37002081127036, 412867979588732, 4586651556698652, 50758470773069860, 559808285415404076
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..0..1. .0..2..3. .1..0..0. .1..1..3. .1..1..3. .3..1..1. .0..0..1 ..1..0..2. .2..2..2. .1..1..1. .3..3..3. .1..1..3. .3..1..0. .0..1..1 ..0..0..2. .2..2..3. .0..1..3. .3..3..3. .3..3..3. .3..1..0. .1..1..1 ..0..2..2. .0..0..2. .1..3..1. .1..1..2. .2..1..1. .3..1..1. .1..1..3
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A269194.
Formula
Empirical: a(n) = 22*a(n-1) -131*a(n-2) +88*a(n-3) +221*a(n-4) -154*a(n-5) -101*a(n-6) +44*a(n-7) -4*a(n-8) for n>9
Comments