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A266867 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its west or northeast neighbor modulo n and the upper left element equal to 0. 6
1, 1, 1, 1, 0, 2, 1, 0, 4, 6, 1, 0, 17, 72, 24, 1, 0, 57, 1304, 2760, 120, 1, 0, 207, 31501, 530368, 154240, 720, 1, 0, 786, 843874, 132028418, 358960340, 12199500, 5040, 1, 0, 3057, 24244702, 37478933496, 1141696526832, 415907473523, 1293877704, 40320, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Table starts

...1........1............1.................1................1..............1

...1........0............0.................0................0..............0

...2........4...........17................57..............207............786

...6.......72.........1304.............31501...........843874.......24244702

..24.....2760.......530368.........132028418......37478933496.11567328302147

.120...154240....358960340.....1141696526832.4269042158821685

.720.12199500.415907473523.20266647672702159

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..60

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000142(n-1).

Sequence in context: A164994 A269952 A247268 * A151852 A300864 A300184

Adjacent sequences:  A266864 A266865 A266866 * A266868 A266869 A266870

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 04 2016

STATUS

approved

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Last modified December 1 12:40 EST 2020. Contains 338833 sequences. (Running on oeis4.)