A209893 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order

792, 19008, 470736, 11857440, 299879808, 7597233712, 192567994720, 4881998439024, 123776581739664, 3138262841221104, 79568924857694176, 2017431778013841440, 51151059308792578224, 1296912123972653759648

Offset

1,1

Comments

Column 4 of A209897

Links

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

Formula

Empirical: a(n) = 37*a(n-1) -224*a(n-2) -2979*a(n-3) +29449*a(n-4) +46557*a(n-5) -1073860*a(n-6) +1135122*a(n-7) +15431403*a(n-8) -33807620*a(n-9) -96498020*a(n-10) +305903160*a(n-11) +230102448*a(n-12) -1252267328*a(n-13) +63674496*a(n-14) +2499686528*a(n-15) -1105423872*a(n-16) -2340302336*a(n-17) +1583680512*a(n-18) +822790144*a(n-19) -753893376*a(n-20) -7176192*a(n-21) +78643200*a(n-22) -10485760*a(n-23)

Example

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

Crossrefs

Sequence in context: A027817 A104680 A037190 * A184491 A140909 A282461

Adjacent sequences: A209890 A209891 A209892 * A209894 A209895 A209896

Keyword

nonn

Author

R. H. Hardin Mar 14 2012

Status

approved