

A204477


Number of (n+2)X4 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nwtose diagonally exactly three ways, and new values 0..3 introduced in row major order


1



307, 1326, 3147, 2745, 8114, 29959, 111707, 425010, 1602835, 6076455, 23038228, 87322215, 331059861, 1255146516, 4758551951, 18041027869, 68398734846, 259319077335, 983153218535, 3727416848414, 14131709526987, 53577378404731
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OFFSET

1,1


COMMENTS

Column 2 of A204483


LINKS

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


FORMULA

Empirical: a(n) = 4*a(n1) +a(n2) 2*a(n3) 19*a(n4) 4*a(n5) +21*a(n6) +24*a(n7) +3*a(n8) 18*a(n9) 9*a(n10) for n>13


EXAMPLE

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


CROSSREFS

Sequence in context: A125252 A308785 A142572 * A176091 A118284 A234030
Adjacent sequences: A204474 A204475 A204476 * A204478 A204479 A204480


KEYWORD

nonn


AUTHOR

R. H. Hardin Jan 15 2012


STATUS

approved



