A185572 Number of (n+1)X2 0..3 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum

256, 3392, 44944, 598688, 7974976, 106125920, 1412256400, 18797516000, 250200040000, 3330057490400, 44321667132304, 589910483825696, 7851563387466304, 104502021786889760, 1390891472006784400

Offset

1,1

Comments

Column 1 of A185575

Links

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

Formula

Empirical: a(n)=6*a(n-1)+692*a(n-3)+5325*a(n-4)+24966*a(n-5)+137368*a(n-6)+200736*a(n-7)-730404*a(n-8)-4060664*a(n-9)-19780992*a(n-10)-30858624*a(n-11)+110419200*a(n-12)+328084992*a(n-13)-615112704*a(n-15)-429981696*a(n-16)

Example

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

Crossrefs

Sequence in context: A070056 A185575 A185933 * A185925 A205281 A185923

Adjacent sequences: A185569 A185570 A185571 * A185573 A185574 A185575

Keyword

nonn

Author

R. H. Hardin Jan 31 2011

Status

approved