A186197 Number of (n+1)X2 0..3 arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

256, 3692, 53462, 773776, 11199932, 162110182, 2346415828, 33962540254, 491581127962, 7115251677062, 102987693303636, 1490666163351236, 21576224718636722, 312298946937347792, 4520282557655298722

Offset

1,1

Comments

Column 1 of A186200

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=6*a(n-1)+71*a(n-2)+539*a(n-3)+2454*a(n-4)+7868*a(n-5)+8056*a(n-6)-32420*a(n-7)-165096*a(n-8)-411360*a(n-9)-936288*a(n-10)-1586880*a(n-11)-1264896*a(n-12)-331776*a(n-13)

Example

Some solutions for 3X2
..2..2....3..0....0..3....3..2....1..1....0..3....2..2....3..2....1..2....3..2
..3..3....0..0....1..2....0..1....0..0....0..2....0..0....3..1....2..1....2..2
..0..2....1..3....0..2....0..0....0..3....1..0....1..0....1..2....2..2....3..2

Crossrefs

Sequence in context: A259320 A247931 A186200 * A231842 A186558 A186554

Adjacent sequences: A186194 A186195 A186196 * A186198 A186199 A186200

Keyword

nonn

Author

R. H. Hardin Feb 14 2011

Status

approved