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A221321 T(n,k)=Number of nonnegative integer arrays of length n summing to n without equal adjacent values modulo k 7
1, 1, 0, 1, 0, 0, 1, 2, 3, 0, 1, 2, 6, 8, 0, 1, 2, 7, 8, 5, 0, 1, 2, 7, 14, 19, 0, 0, 1, 2, 7, 14, 28, 44, 28, 0, 1, 2, 7, 14, 30, 66, 84, 72, 0, 1, 2, 7, 14, 30, 76, 168, 212, 45, 0, 1, 2, 7, 14, 30, 76, 185, 378, 474, 0, 0, 1, 2, 7, 14, 30, 76, 188, 430, 866, 1008, 286, 0, 1, 2, 7, 14, 30, 76 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,8
COMMENTS
Table starts
.1...1....1.....1.....1.....1.....1.....1.....1.....1.....1.....1.....1.....1
.0...0....2.....2.....2.....2.....2.....2.....2.....2.....2.....2.....2.....2
.0...3....6.....7.....7.....7.....7.....7.....7.....7.....7.....7.....7.....7
.0...8....8....14....14....14....14....14....14....14....14....14....14....14
.0...5...19....28....30....30....30....30....30....30....30....30....30....30
.0...0...44....66....76....76....76....76....76....76....76....76....76....76
.0..28...84...168...185...188...188...188...188...188...188...188...188...188
.0..72..212...378...430...444...444...444...444...444...444...444...444...444
.0..45..474...866..1044..1071..1075..1075..1075..1075..1075..1075..1075..1075
.0...0.1008..2128..2544..2638..2656..2656..2656..2656..2656..2656..2656..2656
.0.286.2438..5065..6154..6460..6499..6504..6504..6504..6504..6504..6504..6504
.0.728.5436.12000.15002.15756.15904.15926.15926.15926.15926.15926.15926.15926
LINKS
EXAMPLE
Some solutions for n=7 k=4
..1....0....0....0....0....3....1....0....2....0....0....0....1....3....0....2
..2....1....1....3....1....0....2....3....0....3....1....1....0....1....1....1
..0....0....0....0....0....1....1....0....1....1....0....0....3....0....0....0
..1....2....3....1....1....0....0....2....0....0....1....1....1....2....1....3
..2....3....0....2....2....1....1....1....3....1....4....0....0....0....0....0
..1....1....2....1....0....0....2....0....0....2....1....5....2....1....1....1
..0....0....1....0....3....2....0....1....1....0....0....0....0....0....4....0
CROSSREFS
Diagonal is A221235 for n>3
Sequence in context: A360302 A351939 A170899 * A367959 A179392 A106730
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 10 2013
STATUS
approved

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Last modified February 25 12:20 EST 2024. Contains 370325 sequences. (Running on oeis4.)