A201273 Number of n X 4 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

1, 3, 12, 14, 85, 199, 143, 740, 1274, 759, 3416, 5312, 2746, 11628, 16676, 7946, 32164, 43438, 19713, 76321, 99347, 43137, 162566, 205231, 86351, 318364, 391600, 161089, 581578, 702330, 282904, 1006014, 1195239, 473473, 1662549, 1947164, 761467, 2641053, 3058967

Offset: 0

Author

R. H. Hardin, Nov 29 2011

Keywords

• nonn
• easy

Examples

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

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..10000 (terms n = 1..192 from R. H. Hardin)

Crossrefs

Column 4 of A201277.

Formula

a(n) = a(n-3) +2*a(n-6) +a(n-9) -4*a(n-12) -5*a(n-15) +4*a(n-18) +5*a(n-21) +a(n-24) -6*a(n-27) +6*a(n-33) -a(n-36) -5*a(n-39) -4*a(n-42) +5*a(n-45) +4*a(n-48) -a(n-51) -2*a(n-54) -a(n-57) +a(n-60).

Extensions

a(0)=1 prepended by Alois P. Heinz, Mar 18 2024