A208441 Number of nX4 0..2 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it

24, 646, 17992, 505000, 14204032, 399447742, 11236338658, 316042155314, 8889768939632, 250047696761442, 7033349877043778, 197832631341863860, 5564620617951528490, 156520843068032034106, 4402601032901666925362

Offset

1,1

Comments

Column 4 of A208445

Links

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

Formula

Empirical: a(n) = 22*a(n-1) +232*a(n-2) -2274*a(n-3) +21340*a(n-4) -147601*a(n-5) +623877*a(n-6) -2478495*a(n-7) +7316863*a(n-8) -20304345*a(n-9) +44585841*a(n-10) -86967147*a(n-11) +136172607*a(n-12) -169769685*a(n-13) +156927435*a(n-14) -104021019*a(n-15) +37315604*a(n-16) -12243416*a(n-17) -91497206*a(n-18) +127102756*a(n-19) -195503192*a(n-20) +105015024*a(n-21) -69805280*a(n-22) +74556992*a(n-23) -23342720*a(n-24) +26862336*a(n-25) -18183168*a(n-26) +5672960*a(n-27) -2228224*a(n-28) +786432*a(n-29) -262144*a(n-30)

Example

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

Crossrefs

Sequence in context: A002553 A006201 A118051 * A231449 A276246 A274957

Adjacent sequences: A208438 A208439 A208440 * A208442 A208443 A208444

Keyword

nonn

Author

R. H. Hardin Feb 26 2012

Status

approved