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A187988 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))*2^|x(i)| zero 14
0, 0, 1, 0, 2, 3, 0, 3, 5, 9, 0, 4, 7, 15, 36, 0, 5, 9, 22, 57, 117, 0, 6, 11, 30, 82, 181, 411, 0, 7, 13, 39, 111, 260, 632, 1452, 0, 8, 15, 49, 144, 355, 912, 2199, 5040, 0, 9, 17, 60, 181, 467, 1257, 3158, 7593, 17829, 0, 10, 19, 72, 222, 597, 1673, 4357, 10920, 26706, 62870 (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...0..0..0.0

.....1.....2.....3.....4.....5.....6.....7.....8....9...10..11..12.13.14

.....3.....5.....7.....9....11....13....15....17...19...21..23..25.27

.....9....15....22....30....39....49....60....72...85...99.114.130

....36....57....82...111...144...181...222...267..316..369.426

...117...181...260...355...467...597...746...915.1105.1317

...411...632...912..1257..1673..2166..2742..3407.4167

..1452..2199..3158..4357..5825..7592..9689.12148

..5040..7593.10920.15146.20404.26835.34588

.17829.26706.38385.53379.72246.95590

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..117

EXAMPLE

Some solutions for n=5 k=3

.-3...-6...-5...-3...-3...-6...-4...-4...-1...-4...-2...-4...-4...-2...-3...-5

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

.-2...-3...-2....1...-3...-5....0...-2....0...-4...-1....2...-3....1....1....1

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

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

CROSSREFS

Row 4 is A055999(n+1)

Sequence in context: A227536 A047773 A279416 * A035549 A245255 A180188

Adjacent sequences:  A187985 A187986 A187987 * A187989 A187990 A187991

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 18 2011

STATUS

approved

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Last modified May 23 05:03 EDT 2019. Contains 323508 sequences. (Running on oeis4.)