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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
1, 14, 185, 3893, 95209, 2654693, 77622801, 2332544112, 70818414642, 2161177216264, 66088239172274, 2022894919575606, 61943368802864096, 1897117535886617689, 58106767270163295285, 1779810991390854020577 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 8 11:05 EST 2022. Contains 358693 sequences. (Running on oeis4.)