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A202006
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T(n,k)=Number of -k..k circular arrays x(0..n+1) of n+2 elements with zero sums of x(i) and x(i)*x((i+1) mod (n+2))
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13
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1, 1, 9, 1, 25, 11, 1, 49, 31, 43, 1, 81, 61, 247, 85, 1, 121, 101, 601, 799, 329, 1, 169, 111, 1357, 2605, 4281, 577, 1, 225, 231, 2467, 7463, 22865, 15751, 1921, 1, 289, 261, 4327, 14365, 80065, 101395, 61581, 4115, 1, 361, 361, 6385, 33699, 221433, 490879, 657871
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OFFSET
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1,3
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COMMENTS
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Table starts
.....1.......1........1.........1..........1..........1...........1...........1
.....9......25.......49........81........121........169.........225.........289
....11......31.......61.......101........111........231.........261.........361
....43.....247......601......1357.......2467.......4327........6385........9445
....85.....799.....2605......7463......14365......33699.......53775.......90007
...329....4281....22865.....80065.....221433.....511257.....1039409.....1942577
...577...15751...101395....490879....1519417....4460689.....9882793....21851983
..1921...61581...657871...3697331...14540551...48525711...128920651...308155711
..4115..267037..3603821..28156261..130169953..529141383..1579308193..4407995417
.14331.1298599.25726609.240962805.1459090675.6524977447.23513859009.72520540045
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LINKS
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EXAMPLE
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Some solutions for n=5 k=3
..0....3....0....2....2....0...-1...-2...-2....1...-2...-1....2...-2...-2...-2
..0...-1...-1...-1....3...-3....2....2....1....0...-3...-2....1....3....3....1
..2....0....3....3...-3....1....2....1...-1...-1....3....1...-1...-1....3....3
..1....0....1....1....0...-2...-1....2...-3....2....2....2....2....2...-2....0
.-2...-3....0...-2...-2...-1....3...-1....0....2....3....0....2....2....0....2
.-3....0....0...-2...-1....3...-2...-2....2...-1...-3...-1...-3...-1....1...-3
..2....1...-3...-1....1....2...-3....0....3...-3....0....1...-3...-3...-3...-1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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