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 A188181 T(n,k)=Number of strictly increasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero 16
 1, 1, 1, 1, 2, 2, 1, 3, 5, 5, 1, 4, 8, 12, 12, 1, 5, 13, 24, 32, 32, 1, 6, 18, 43, 73, 94, 94, 1, 7, 25, 69, 141, 227, 289, 289, 1, 8, 32, 104, 252, 480, 734, 910, 910, 1, 9, 41, 150, 414, 920, 1656, 2430, 2934, 2934, 1, 10, 50, 207, 649, 1636, 3370, 5744, 8150, 9686, 9686, 1, 11 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ....1....1.....1.....1......1......1......1.......1.......1.......1.......1 ....1....2.....3.....4......5......6......7.......8.......9......10......11 ....2....5.....8....13.....18.....25.....32......41......50......61......72 ....5...12....24....43.....69....104....150.....207.....277.....362.....462 ...12...32....73...141....252....414....649.....967....1394....1944....2649 ...32...94...227...480....920...1636...2739....4370....6698....9926...14293 ...94..289...734..1656...3370...6375..11322...19138...30982...48417...73316 ..289..910..2430..5744..12346..24591..46029...81805..139143..227930..361384 ..910.2934..8150.20094..45207..94257.184717..343363..610358.1043534.1724882 .2934.9686.27718.70922.165821.360002.734517.1421530.2628824.4672836.8022362 LINKS R. H. Hardin, Table of n, a(n) for n = 1..550 EXAMPLE Some solutions for n=7 k=5 .-7...-9...-8..-10...-6...-6...-9...-8...-8...-7...-9..-10...-9...-8...-9...-7 .-5...-7...-6...-7...-5...-5...-4...-6...-7...-3...-8...-5...-3...-7...-5...-4 .-3...-1...-5...-4...-4...-3...-1...-4...-5...-2...-6...-3...-1...-3...-4...-3 .-1....0...-1....3...-3...-2....0...-1....0...-1....4....0....1....1...-1...-1 ..3....3....2....5...-1....1....1....4....3....0....5....3....3....2....4....0 ..4....4....8....6....9....7....4....5....7....4....6....5....4....5....6....7 ..9...10...10....7...10....8....9...10...10....9....8...10....5...10....9....8 CROSSREFS Column 1 is A076822 Column 2 is A002838 Row 3 is A000982(n+1) Sequence in context: A349414 A257006 A139687 * A064581 A064580 A009766 Adjacent sequences: A188178 A188179 A188180 * A188182 A188183 A188184 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 23 2011 STATUS approved

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Last modified December 7 05:41 EST 2022. Contains 358649 sequences. (Running on oeis4.)