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A183944 T(n,k)=Number of strings of n numbers x(i) in -k..k with sums of x(i) and of x(i)*x(i+1) both zero 9
1, 1, 1, 1, 1, 3, 1, 1, 5, 7, 1, 1, 7, 15, 21, 1, 1, 9, 21, 81, 45, 1, 1, 11, 33, 169, 237, 121, 1, 1, 13, 39, 321, 635, 1015, 261, 1, 1, 15, 51, 497, 1411, 3803, 3891, 723, 1, 1, 17, 57, 761, 2343, 10613, 19013, 16171, 1723, 1, 1, 19, 69, 1033, 4411, 22881, 70449, 115755 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Table starts

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

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

....3.....5......7.......9.......11.......13........15........17........19

....7....15.....21......33.......39.......51........57........69........83

...21....81....169.....321......497......761......1033......1417......1793

...45...237....635....1411.....2343.....4411......6259......9335.....13041

..121..1015...3803...10613....22881....47675.....80851....135793....212037

..261..3891..19013...70449...177535...442337....844829...1639099...2802831

..723.16171.115755..534153..1682939..4838487..10894795..23586625..45371761

.1723.66237.642065.3908739.14821961.50772785.130817901.323498939.691606851

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..197

EXAMPLE

Some solutions for n=5 k=4

..3...-4....4...-1...-2....3...-4...-2...-3....2...-1...-2...-1....1...-1....0

.-1....3....0....4....0....0....0...-3....1....1....2....4...-1....4....3....0

.-2....4...-1....2....4....1...-3....4....2...-4....2....2....1...-1....1....1

.-1....1....0...-4....0...-3....4....2....1...-1...-2....0....0....0...-2....0

..1...-4...-3...-1...-2...-1....3...-1...-1....2...-1...-4....1...-4...-1...-1

CROSSREFS

Sequence in context: A204027 A080842 A216948 * A145661 A119258 A099608

Adjacent sequences:  A183941 A183942 A183943 * A183945 A183946 A183947

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 08 2011

STATUS

approved

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Last modified May 12 04:27 EDT 2021. Contains 343810 sequences. (Running on oeis4.)