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 A188333 T(n,k)=Number of nondecreasing arrangements of n nonzero numbers in -(n+k-2)..(n+k-2) with sum zero 15
 0, 0, 1, 0, 2, 2, 0, 3, 4, 10, 0, 4, 8, 20, 40, 0, 5, 12, 37, 86, 197, 0, 6, 18, 61, 166, 424, 980, 0, 7, 24, 94, 288, 828, 2128, 5142, 0, 8, 32, 136, 472, 1488, 4238, 11200, 27632, 0, 9, 40, 191, 726, 2519, 7836, 22563, 60372, 152191, 0, 10, 50, 257, 1076, 4050, 13694, 42593 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ......0......0......0.......0.......0.......0.......0........0........0 ......1......2......3.......4.......5.......6.......7........8........9 ......2......4......8......12......18......24......32.......40.......50 .....10.....20.....37......61......94.....136.....191......257......338 .....40.....86....166.....288.....472.....726....1076.....1534.....2130 ....197....424....828....1488....2519....4050....6252.....9314....13479 ....980...2128...4238....7836...13694...22786...36454....56314....84496 ...5142..11200..22563...42593...76251..130453..214784...341988...528926 ..27632..60372.122986..236130..431488..755434.1274786..2082546..3306612 .152191.333254.684809.1333130.2477726.4423012.7621670.12729304.20676601 LINKS R. H. Hardin, Table of n, a(n) for n = 1..430 EXAMPLE Some solutions for n=8 k=6 .-8...-9..-12..-11..-12...-9...-9...-6..-11...-8..-12..-12..-12...-9..-11...-9 .-5...-7...-7...-7...-5...-6...-8...-6...-7...-7...-6..-12..-10...-6..-10...-7 .-1...-6....1...-4...-2...-3...-3...-6...-4...-4...-4...-1...-6...-2...-4...-1 .-1....1....1...-4...-2...-3....3...-5...-4....1...-4....2....4....1...-4...-1 .-1....1....2....3...-2....2....3...-5....5....1....1....4....4....1....4....1 ..3....2....3....6....4....4....3....5....6....3....2....4....5....3....6....5 ..3....9....5....8....8....7....4...11....6....4...11....4....6....5....9....6 .10....9....7....9...11....8....7...12....9...10...12...11....9....7...10....6 CROSSREFS Row 3 is A007590(n+1) Sequence in context: A094053 A294598 A077264 * A283269 A201947 A098816 Adjacent sequences:  A188330 A188331 A188332 * A188334 A188335 A188336 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 28 2011 STATUS approved

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