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A200204
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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
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15
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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EXAMPLE
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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
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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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