A183617 1/120 the number of (n+1) X 5 0..4 arrays with every 2 X 2 subblock containing four distinct values.

216, 4992, 115760, 2708848, 63632480, 1498220176, 35321033072, 833329037376, 19669285954672, 464377424786608, 10965243510496992, 258942543673642320, 6115202229118671536, 144421327114372301632, 3410825769986070048176

Offset

1,1

Comments

Column 4 of A183622.

Links

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

Formula

Empirical: a(n) = 49*a(n-1)-749*a(n-2)+2986*a(n-3)+18914*a(n-4)-143912*a(n-5)-25696*a(n-6)+1494272*a(n-7)-1042432*a(n-8)-3600384*a(n-9)+917504*a(n-10)+393216*a(n-11).

Example

Some solutions with the first square being 0123 for 3 X 5
..0..1..0..3..2....0..1..4..3..2....0..1..0..2..0....0..1..0..3..4
..2..3..4..1..0....2..3..2..0..4....2..3..4..3..1....2..3..4..2..1
..0..1..0..3..4....4..0..4..3..2....1..0..2..0..2....4..0..1..0..4

Crossrefs

Cf. A183622.

Sequence in context: A017343 A269190 A017463 * A114060 A128964 A096290

Adjacent sequences: A183614 A183615 A183616 * A183618 A183619 A183620

Keyword

nonn

Author

R. H. Hardin, Jan 06 2011

Status

approved