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A277945 T(n,k)=Number of nXk 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. 7
0, 0, 0, 0, 3, 0, 0, 14, 14, 0, 0, 74, 172, 74, 0, 0, 377, 2353, 2353, 377, 0, 0, 1932, 31011, 84970, 31011, 1932, 0, 0, 9888, 410047, 2967962, 2967962, 410047, 9888, 0, 0, 50619, 5417792, 103960169, 273135341, 103960169, 5417792, 50619, 0, 0, 259118, 71585918 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.0....0.......0..........0.............0................0..................0

.0....3......14.........74...........377.............1932...............9888

.0...14.....172.......2353.........31011...........410047............5417792

.0...74....2353......84970.......2967962........103960169.........3638916907

.0..377...31011....2967962.....273135341......25229090418......2328401610722

.0.1932..410047..103960169...25229090418....6148196379968...1496942405776739

.0.9888.5417792.3638916907.2328401610722.1496942405776739.961449638681471934

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=2: a(n) = 4*a(n-1) +6*a(n-2) -a(n-3) -2*a(n-4)

k=3: [order 20] for n>21

k=4: [order 70] for n>73

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Sequence in context: A321711 A277788 A208848 * A169777 A278208 A105786

Adjacent sequences:  A277942 A277943 A277944 * A277946 A277947 A277948

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 05 2016

STATUS

approved

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Last modified July 2 15:47 EDT 2020. Contains 335403 sequences. (Running on oeis4.)