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A269937 T(n,k)=Number of nXk 0..6 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling six exactly once. 6
0, 7, 7, 84, 900, 84, 756, 36312, 36312, 756, 6048, 1213836, 5695536, 1213836, 6048, 45360, 36926640, 755009274, 755009274, 36926640, 45360, 326592, 1064495604, 91506078732, 399002850360, 91506078732, 1064495604, 326592, 2286144 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

........0..............7...................84.......................756

........7............900................36312...................1213836

.......84..........36312..............5695536.................755009274

......756........1213836............755009274..............399002850360

.....6048.......36926640..........91506078732...........193171242190020

....45360.....1064495604.......10536802638018.........88942337408262936

...326592....29614748232.....1172354654705496......39591200828582988102

..2286144...803524526172...127313882431172946...17206536333078160595304

.15676416.21398721760608.13576906131836963556.7344924168583134203517654

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: a(n) = 12*a(n-1) -36*a(n-2)

k=2: [order 6] for n>7

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

k=4: [order 64] for n>65

EXAMPLE

Some solutions for n=2 k=4

..0..3..1..6. .0..3..5..6. .0..0..0..5. .0..6..6..5. .0..2..2..6

..1..1..0..2. .3..5..6..3. .4..4..1..4. .3..5..2..6. .4..1..3..2

CROSSREFS

Column 1 is A269895.

Sequence in context: A009201 A219353 A269902 * A065240 A178708 A072399

Adjacent sequences:  A269934 A269935 A269936 * A269938 A269939 A269940

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 08 2016

STATUS

approved

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Last modified January 26 11:07 EST 2020. Contains 331279 sequences. (Running on oeis4.)