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A202006 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)) 13
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..311

EXAMPLE

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

CROSSREFS

Sequence in context: A328621 A191871 A181318 * A195278 A092477 A019433

Adjacent sequences:  A202003 A202004 A202005 * A202007 A202008 A202009

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 07 2011

STATUS

approved

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Last modified August 18 14:22 EDT 2022. Contains 356215 sequences. (Running on oeis4.)