A204717 Number of (n+1) X 3 0..1 arrays with the permanents of 2 X 2 subblocks nondecreasing rightwards and downwards.

51, 261, 1271, 5821, 26128, 115060, 502546, 2181023, 9435107, 40725864, 175575234, 756334373, 3256622029, 14018388717, 60333239964, 259639675364, 1117272873312, 4807636088206, 20686854358737, 89012629944208, 383005849761933

Offset

1,1

Comments

Column 2 of A204723.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -a(n-2) -74*a(n-3) +80*a(n-4) +292*a(n-5) -406*a(n-6) -510*a(n-7) +827*a(n-8) +333*a(n-9) -745*a(n-10) +24*a(n-11) +246*a(n-12) -72*a(n-13).

Example

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

Crossrefs

Cf. A204723.

Sequence in context: A030535 A201813 A193250 * A253921 A204956 A243462

Adjacent sequences: A204714 A204715 A204716 * A204718 A204719 A204720

Keyword

nonn

Author

R. H. Hardin Jan 18 2012

Status

approved