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A229755 T(n,k)=Number of defective 4-colorings of an nXk 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..3 order 8
0, 0, 0, 1, 3, 1, 3, 60, 60, 3, 12, 422, 598, 422, 12, 50, 1840, 2347, 2347, 1840, 50, 210, 6456, 6809, 6561, 6809, 6456, 210, 861, 20032, 17404, 15075, 15075, 17404, 20032, 861, 3416, 57440, 41872, 32548, 29776, 32548, 41872, 57440, 3416, 13140, 155904 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

...0.....0.....1......3.....12.....50....210....861....3416...13140...49230

...0.....3....60....422...1840...6456..20032..57440..155904..406400.1027072

...1....60...598...2347...6809..17404..41872..97565..223075..503650.1126490

...3...422..2347...6561..15075..32548..69198.147376..315786..680124.1468934

..12..1840..6809..15075..29776..57677.113330.228657..473562.1000381.2139866

..50..6456.17404..32548..57677.102271.186396.354509..704530.1450667.3059672

.210.20032.41872..69198.113330.186396.314700.557578.1046550.2070144.4258696

.861.57440.97565.147376.228657.354509.557578.914039.1594164.2972289.5867806

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..575

FORMULA

Empirical for column k:

k=1: a(n) = 12*a(n-1) -57*a(n-2) +136*a(n-3) -171*a(n-4) +108*a(n-5) -27*a(n-6) for n>9

k=2: a(n) = 6*a(n-1) -12*a(n-2) +8*a(n-3) for n>5

k=3: a(n) = 9*a(n-1) -33*a(n-2) +63*a(n-3) -66*a(n-4) +36*a(n-5) -8*a(n-6) for n>8

k=4: a(n) = 9*a(n-1) -33*a(n-2) +63*a(n-3) -66*a(n-4) +36*a(n-5) -8*a(n-6) for n>11

k=5: a(n) = 9*a(n-1) -33*a(n-2) +63*a(n-3) -66*a(n-4) +36*a(n-5) -8*a(n-6) for n>11

k=6: a(n) = 9*a(n-1) -33*a(n-2) +63*a(n-3) -66*a(n-4) +36*a(n-5) -8*a(n-6) for n>11

k=7: a(n) = 9*a(n-1) -33*a(n-2) +63*a(n-3) -66*a(n-4) +36*a(n-5) -8*a(n-6) for n>11

EXAMPLE

Some solutions for n=4 k=4

..0..1..2..0....0..1..2..1....0..1..2..1....0..1..2..1....0..1..0..1

..0..3..2..3....3..3..0..3....2..3..0..3....3..2..0..3....2..2..3..2

..2..1..0..1....2..1..2..2....3..1..2..1....1..2..1..2....3..0..0..1

..0..3..2..3....0..3..0..1....2..3..0..3....0..3..0..3....1..2..3..2

CROSSREFS

Column 1 is A229665

Sequence in context: A286892 A215828 A067009 * A257634 A110790 A119719

Adjacent sequences:  A229752 A229753 A229754 * A229756 A229757 A229758

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 28 2013

STATUS

approved

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Last modified August 10 16:56 EDT 2020. Contains 336381 sequences. (Running on oeis4.)