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A188002 T(n,k)=Number of nondecreasing arrangements of n numbers x(i) in -(n+k-2)..(n+k-2) with the sum of sign(x(i))*x(i)^2 zero 16
1, 1, 2, 1, 3, 3, 1, 4, 4, 12, 1, 5, 5, 17, 25, 1, 6, 8, 25, 45, 106, 1, 7, 9, 34, 64, 176, 376, 1, 8, 10, 46, 88, 286, 644, 1670, 1, 9, 11, 57, 117, 421, 1055, 2983, 7315, 1, 10, 12, 75, 159, 636, 1696, 5191, 13675, 35808, 1, 11, 15, 88, 216, 862, 2596, 8373, 24135, 67487 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

.....1.....1......1......1......1......1......1.......1.......1.......1......1

.....2.....3......4......5......6......7......8.......9......10......11.....12

.....3.....4......5......8......9.....10.....11......12......15......16.....17

....12....17.....25.....34.....46.....57.....75......88.....108.....125....147

....25....45.....64.....88....117....159....216.....270.....333.....421....500

...106...176....286....421....636....862...1206....1587....2114....2698...3450

...376...644...1055...1696...2596...3796...5443....7674...10392...14198..18641

..1670..2983...5191...8373..13343..20224..30358...43750...62354...86173.118859

..7315.13675..24135..40681..66452.105208.160866..242128..354103..510107.717077

.35808.67487.122238.211234.354806.573982.907542.1393159.2104002.3099873

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..188

EXAMPLE

Some solutions for n=5 k=3

.-4...-6...-5....0...-4...-1...-5...-3...-5...-5...-6...-6...-6...-4...-1...-4

.-2...-5...-5....0...-1....0...-2...-2....1....0....0...-6....3....2...-1...-1

.-2....3....3....0....2....0....2...-2....2....0....0....0....3....2...-1...-1

.-1....4....4....0....2....0....3....1....2....0....0....6....3....2...-1....3

..5....6....5....0....3....1....4....4....4....5....6....6....3....2....2....3

CROSSREFS

Sequence in context: A211701 A183110 A117895 * A186974 A286312 A278492

Adjacent sequences:  A187999 A188000 A188001 * A188003 A188004 A188005

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 18 2011

STATUS

approved

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Last modified December 3 08:56 EST 2021. Contains 349445 sequences. (Running on oeis4.)