A274856 Number of nX6 0..2 arrays with no element equal to any value at offset (-1,0) (0,-1) or (-2,-2) and new values introduced in order 0..2.

16, 243, 233, 923, 3602, 14414, 58775, 240587, 983086, 4014830, 16413550, 67168090, 274928938, 1125151301, 4604230576, 18841465233, 77107337889, 315561981687, 1291427753435, 5285084130804, 21628857005629, 88514926769906

Offset

1,1

Comments

Column 6 of A274858.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -77*a(n-2) +286*a(n-3) -736*a(n-4) +1351*a(n-5) -1787*a(n-6) +1716*a(n-7) -1217*a(n-8) +652*a(n-9) -265*a(n-10) +78*a(n-11) -14*a(n-12) +a(n-13) for n>15

Example

Some solutions for n=4
..0..1..0..1..2..1. .0..1..0..2..1..0. .0..1..0..2..1..0. .0..1..2..0..1..0
..1..0..1..2..1..2. .1..0..2..1..0..2. .2..0..2..1..0..1. .1..0..1..2..0..1
..2..1..2..0..2..0. .0..2..1..0..2..0. .0..2..1..0..2..0. .0..1..2..0..1..2
..0..2..0..2..0..1. .2..1..0..2..0..2. .2..1..0..1..0..2. .1..2..0..1..0..1

Crossrefs

Cf. A274858.

Sequence in context: A369393 A179092 A231020 * A064232 A074153 A119933

Adjacent sequences: A274853 A274854 A274855 * A274857 A274858 A274859

Keyword

nonn

Author

R. H. Hardin, Jul 09 2016

Status

approved