A239420 Number of nX2 0..3 arrays with no element equal to the sum of elements to its left or the sum of elements above it or the sum of the elements diagonally to its northwest, modulo 4

6, 18, 80, 320, 1244, 4990, 19560, 77220, 304224, 1197958, 4717332, 18575316, 73129198, 287925250, 1133540066, 4462693994, 17569294396, 69168560346, 272309851366, 1072054712756, 4220563726184, 16615895170312, 65414941885872

Offset

1,1

Comments

Column 2 of A239424

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +11*a(n-2) -a(n-3) -39*a(n-4) -40*a(n-5) +3*a(n-6) +13*a(n-7) +64*a(n-8) +162*a(n-9) -220*a(n-10) +122*a(n-11) -38*a(n-12) -82*a(n-13) +60*a(n-14) for n>15

Example

Some solutions for n=5
..1..2....2..1....1..3....1..2....1..2....2..3....3..1....1..3....1..3....2..3
..3..0....1..0....3..0....2..0....2..3....1..0....1..0....3..2....3..0....1..0
..3..1....1..2....3..0....1..0....2..0....1..0....2..0....3..2....2..0....1..0
..2..0....3..0....1..2....1..0....3..0....2..0....1..0....1..2....3..1....3..0
..2..0....1..2....2..0....2..3....1..2....3..1....1..0....1..2....3..2....2..1

Crossrefs

Sequence in context: A218080 A277609 A188119 * A219590 A260664 A279260

Adjacent sequences: A239417 A239418 A239419 * A239421 A239422 A239423

Keyword

nonn

Author

R. H. Hardin, Mar 17 2014

Status

approved