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A188122 T(n,k)=Number of strictly increasing arrangements of n nonzero numbers in -(n+k-2)..(n+k-2) with sum zero 15
0, 0, 1, 0, 2, 0, 0, 3, 2, 3, 0, 4, 4, 8, 4, 0, 5, 8, 16, 16, 16, 0, 6, 12, 31, 42, 52, 42, 0, 7, 18, 51, 90, 137, 152, 137, 0, 8, 24, 80, 172, 308, 426, 484, 426, 0, 9, 32, 118, 296, 624, 1032, 1398, 1536, 1398, 0, 10, 40, 167, 482, 1154, 2216, 3528, 4622, 5064, 4622, 0, 11, 50 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

....0....0.....0.....0......0......0......0......0.......0.......0.......0

....1....2.....3.....4......5......6......7......8.......9......10......11

....0....2.....4.....8.....12.....18.....24.....32......40......50......60

....3....8....16....31.....51.....80....118....167.....227.....302.....390

....4...16....42....90....172....296....482....740....1092....1554....2154

...16...52...137...308....624...1154...1999...3278....5144....7772...11387

...42..152...426..1032...2216...4376...8044..13994...23210...37030...57086

..137..484..1398..3528...7970..16547..32035..58595..102113..170844..275878

..426.1536..4622.12124..28660..62222.126122.241250..439514..767656.1292864

.1398.5064.15594.42262.103599.233880.493267.982016.1861168.3379972.5913676

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..550

EXAMPLE

Some solutions for n=8 k=6

-11..-12..-11..-11..-12..-10..-11..-12..-12...-9..-10..-11..-11..-12..-12...-7

.-9...-9..-10...-8...-6...-8...-9..-11...-9...-5...-8..-10...-8..-10..-10...-6

.-5...-8...-4...-4...-4...-5...-8...-4...-8...-4...-5...-4...-7...-9...-5...-5

.-4...-3...-2...-2...-1...-3...-3...-2....1...-2...-3...-1....1....1...-2...-3

..2....5....2....1....2...-1....1...-1....4....1....4....3....2....2....3...-2

..6....8....4....6....4....8....7....7....5....2....5....4....6....8....5....5

..9....9...10....7....5....9...11...11....9....8....8....8....7....9....9....8

.12...10...11...11...12...10...12...12...10....9....9...11...10...11...12...10

CROSSREFS

Row 3 is A007590

Sequence in context: A205341 A195664 A053202 * A050186 A278094 A245487

Adjacent sequences:  A188119 A188120 A188121 * A188123 A188124 A188125

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 21 2011

STATUS

approved

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Last modified August 18 17:58 EDT 2017. Contains 290732 sequences.