A204411 Number of (n+2)X4 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically, exactly one way

34274, 154938, 781884, 5597126, 52039032, 395943745, 2826265830, 26252359826, 205479237126, 1502458946249, 13958434142795, 110683258435601, 818759240142934, 7569154327184004, 60474302014382768, 450620436164601198

Offset

1,1

Comments

Column 2 of A204417

Links

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

Formula

Empirical: a(n) = 737*a(n-3) +135*a(n-4) +564*a(n-5) -109084*a(n-6) -27511*a(n-7) -186930*a(n-8) -429594*a(n-9) -166223*a(n-10) +2117595*a(n-11) +208279*a(n-12) +1766751*a(n-13) +6306642*a(n-14) +17530589*a(n-15) +9984342*a(n-16) -3716271*a(n-17) -2952990*a(n-18) +123210*a(n-19) for n>22

Example

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

Crossrefs

Sequence in context: A182292 A206214 A227487 * A238927 A236796 A252241

Adjacent sequences: A204408 A204409 A204410 * A204412 A204413 A204414

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved