A205022 Number of (n+1)X4 0..3 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards.

15040, 275853, 7148335, 198539736, 5296848762, 139786868632, 3650380799573, 95296479247095, 2482224861095909, 64689991305033086, 1685161844199556108, 43911745208302175122, 1144174123712107860716, 29816968100738943831243

Offset

1,1

Comments

Column 3 of A205027

Links

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

Formula

Empirical: a(n) = 56*a(n-1) -742*a(n-2) -9488*a(n-3) +284911*a(n-4) -1227272*a(n-5) -17654568*a(n-6) +180271872*a(n-7) -212758272*a(n-8) -3603750912*a(n-9) +17151492096*a(n-10) -28116025344*a(n-11) +14619377664*a(n-12) for n>27

Example

Some solutions for n=4
..0..3..0..3....1..0..1..3....3..0..3..1....1..2..3..3....1..0..0..3
..1..2..0..3....3..0..0..0....1..0..2..1....2..2..2..2....2..0..0..3
..1..0..0..1....2..0..3..3....3..0..2..2....0..0..0..0....2..0..0..1
..2..0..0..3....1..0..1..1....1..0..1..2....3..0..2..2....1..0..0..2
..0..0..0..1....2..0..3..3....1..0..0..2....2..0..3..3....3..0..0..1

Crossrefs

Sequence in context: A147578 A285993 A295453 * A207297 A151595 A254581

Adjacent sequences: A205019 A205020 A205021 * A205023 A205024 A205025

Keyword

nonn

Author

R. H. Hardin, Jan 21 2012

Status

approved