A204478 Number of (n+2)X5 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order

1157, 3147, 608, 1587, 2632, 9290, 34964, 124697, 471260, 1787757, 6755022, 25607122, 97087698, 368019431, 1395257904, 5289834511, 20055078524, 76034541226, 288268853192, 1092909563581, 4143534617092, 15709332458233

Offset

1,1

Comments

Column 3 of A204483

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +a(n-2) -2*a(n-3) -19*a(n-4) -4*a(n-5) +21*a(n-6) +24*a(n-7) +3*a(n-8) -18*a(n-9) -9*a(n-10) for n>13

Example

Some solutions for n=3
..0..0..0..1..0....0..0..0..0..1....0..1..0..0..0....0..0..0..1..2
..1..0..0..0..2....2..2..2..0..2....0..1..0..0..2....1..1..1..1..1
..1..1..0..0..0....0..0..0..0..0....0..1..0..0..2....1..1..1..1..1
..1..1..1..0..0....0..0..0..0..0....0..0..0..0..2....2..2..2..2..2
..3..1..1..1..0....2..0..2..2..2....3..1..0..0..2....3..3..3..3..3

Crossrefs

Sequence in context: A264089 A264278 A217279 * A031746 A219148 A031532

Adjacent sequences: A204475 A204476 A204477 * A204479 A204480 A204481

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved