A198703 Number of nX3 0..4 arrays with values 0..4 introduced in row major order and each element equal to at least one horizontal or vertical neighbor

1, 14, 185, 3893, 95209, 2654693, 77622801, 2332544112, 70818414642, 2161177216264, 66088239172274, 2022894919575606, 61943368802864096, 1897117535886617689, 58106767270163295285, 1779810991390854020577

Offset

1,2

Comments

Column 3 of A198708

Links

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

Formula

Empirical: a(n) = 36*a(n-1) -a(n-2) -5355*a(n-3) +4939*a(n-4) +171547*a(n-5) +187210*a(n-6) -2080273*a(n-7) -6373170*a(n-8) +4618206*a(n-9) +52436433*a(n-10) +65874012*a(n-11) -142129836*a(n-12) -448353529*a(n-13) -92258782*a(n-14) +1182054840*a(n-15) +1645176287*a(n-16) -1092230888*a(n-17) -4897845688*a(n-18) -3393264569*a(n-19) +5453181946*a(n-20) +10604051822*a(n-21) +3233851655*a(n-22) -11263670956*a(n-23) -13806085667*a(n-24) +2193563289*a(n-25) +13819377251*a(n-26) +6644812359*a(n-27) -4919877474*a(n-28) -9065267335*a(n-29) +842958990*a(n-30) +3103300670*a(n-31) +1235389140*a(n-32) -446260304*a(n-33) -841232800*a(n-34) +553687700*a(n-35) -274224576*a(n-36) +45862920*a(n-37) +8532304*a(n-38) +2067648*a(n-39)

Example

Some solutions with all values 0 to 4 for n=4
..0..0..1....0..1..1....0..0..0....0..0..0....0..0..1....0..0..1....0..0..1
..2..2..1....0..1..1....1..2..3....1..2..3....0..2..1....2..2..1....2..1..1
..3..2..2....2..2..3....1..2..3....1..2..3....3..2..4....3..0..0....2..3..3
..3..4..4....4..4..3....1..4..4....4..4..3....3..2..4....3..4..4....2..4..4

Crossrefs

Sequence in context: A179090 A165152 A263384 * A198622 A198650 A198657

Adjacent sequences: A198700 A198701 A198702 * A198704 A198705 A198706

Keyword

nonn

Author

R. H. Hardin Oct 29 2011

Status

approved