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A188211
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T(n,k)=Number of nondecreasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero
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11
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1, 1, 2, 1, 3, 5, 1, 4, 8, 18, 1, 5, 13, 33, 73, 1, 6, 18, 55, 141, 338, 1, 7, 25, 86, 252, 676, 1656, 1, 8, 32, 126, 414, 1242, 3370, 8512, 1, 9, 41, 177, 649, 2137, 6375, 17575, 45207, 1, 10, 50, 241, 967, 3486, 11322, 33885, 94257, 246448, 1, 11, 61, 318, 1394, 5444
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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........1
......2......3.......4.......5.......6.......7........8........9.......10
......5......8......13......18......25......32.......41.......50.......61
.....18.....33......55......86.....126.....177......241......318......410
.....73....141.....252.....414.....649.....967.....1394.....1944.....2649
....338....676....1242....2137....3486....5444.....8196....11963....17002
...1656...3370....6375...11322...19138...30982....48417....73316...108108
...8512..17575...33885...61731..107233..178870...288100...450096...684572
..45207..94257..184717..343363..610358.1043534..1724882..2767118..4323349
.246448.517971.1028172.1943488.3521260.6147894.10388788.17052653.27273240
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LINKS
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EXAMPLE
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Some solutions for n=5 k=3
.-5...-5...-4...-4...-6...-3...-6...-4...-2...-6...-2...-6...-4...-5...-5...-4
.-2...-1...-4...-2...-5...-3...-1...-3...-1...-6...-1...-1...-3...-4...-3...-4
..0....0...-1...-2...-1...-1....0...-1...-1....1...-1....0....1...-1....0....1
..1....0....3....3....6....2....2....3....1....5....0....1....1....5....4....3
..6....6....6....5....6....5....5....5....3....6....4....6....5....5....4....4
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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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