A200204 T(n,k)=Number of -k..k arrays x(0..n+2) of n+3 elements with zero sum and nonzero second and third differences

12, 68, 22, 186, 246, 50, 422, 1106, 1042, 90, 798, 3196, 6418, 3940, 192, 1316, 7450, 24542, 37226, 16092, 360, 2064, 14842, 70400, 187530, 217946, 63326, 752, 3048, 26932, 168054, 667620, 1453304, 1282168, 256314, 1472, 4254, 44910, 352840

Offset

1,1

Comments

Table starts

...12.......68........186.........422..........798..........1316...........2064

...22......246.......1106........3196.........7450.........14842..........26932

...50.....1042.......6418.......24542........70400........168054.........352840

...90.....3940......37226......187530.......667620.......1910006........4664818

..192....16092.....217946.....1453304......6428538......21939870.......62361448

..360....63326....1282168....11315108.....62141592.....253625670......838749476

..752...256314....7609122....88657470....604864626....2949336370....11349503058

.1472..1028100...45311478...697548282...5910438976...34451583494...154248783948

.3060..4169932..270793444..5508571400..57975632400..403936559664..2104280597600

.6104.16889228.1623115640.43635932538.570460963084.4751104584700.28798650135574

Links

R. H. Hardin, Table of n, a(n) for n = 1..262

Example

Some solutions for n=4 k=3
.-3....3....3...-2....1....1...-2....1....1....3....2....1...-2...-1....1...-3
..0....0...-2....1....3....3....1...-1....3...-2....1...-1...-1....3....0...-2
.-1...-2....1...-1....0...-3...-3....1...-2....1...-3....3....1....0....2....1
..3....0....0...-1....2....3....2...-3...-3...-1...-3...-1...-2...-1...-1....3
..2...-2....3....2....0...-1....0....2....1....0....3...-3....2....1....2...-2
..2....2...-2...-1...-3....0....3...-3...-1...-1...-3...-2....2...-2...-2....0
.-3...-1...-3....2...-3...-3...-1....3....1....0....3....3....0....0...-2....3

Crossrefs

Sequence in context: A212687 A117088 A199415 * A289384 A200205 A059585

Adjacent sequences: A200201 A200202 A200203 * A200205 A200206 A200207

Keyword

nonn,tabl

Author

R. H. Hardin Nov 14 2011

Status

approved