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A188277 T(n,k)=Number of nondecreasing strings of numbers x(i=1..n) in -k..k with sum x(i)^3 equal to 0 13
1, 1, 2, 1, 3, 2, 1, 4, 3, 3, 1, 5, 4, 6, 3, 1, 6, 5, 10, 6, 4, 1, 7, 6, 15, 10, 10, 4, 1, 8, 7, 21, 15, 20, 10, 5, 1, 9, 8, 30, 21, 37, 22, 15, 5, 1, 10, 9, 38, 30, 62, 41, 37, 17, 6, 1, 11, 10, 47, 42, 106, 68, 84, 45, 23, 6, 1, 12, 11, 59, 51, 148, 114, 170, 106, 68, 27, 7, 1, 13, 12, 70, 65 (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.....1.....1.....1.....1......1

.2..3..4...5...6....7....8....9...10....11....12....13....14....15....16.....17

.2..3..4...5...6....7....8....9...10....11....12....13....14....15....16.....17

.3..6.10..15..21...30...38...47...59....70....82....99...113...128...144....163

.3..6.10..15..21...30...42...51...65....78....92...111...129...152...172....193

.4.10.20..37..62..106..148..197..280...366...470...637...778...922..1098...1327

.4.10.22..41..68..114..202..273..402...548...720...979..1248..1660..2072...2525

.5.15.37..84.170..346..552..817.1319..1951..2817..4262..5776..7388..9688..12753

.5.17.45.106.216..422..890.1415.2401..3809..5725..8810.12622.18662.26200..35595

.6.23.68.186.450.1070.2020.3505.6456.10987.18010.30214.46352.66586.98330.142605

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1196

EXAMPLE

Some solutions for n=9 k=8

.-8...-6...-8...-6...-8...-6...-8...-7...-8...-7...-8...-5...-5...-7...-7...-7

.-4...-6...-7...-5...-6...-6...-6...-5...-7...-7...-1...-2...-1...-2...-7...-4

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

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

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

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

..1...-1....4....1....0....6....3...-1....7....4....4....2....1....4....5....4

..4....6....6....3....8....6....6....1....7....7....4....2....4....4....6....5

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

CROSSREFS

Sequence in context: A278118 A255238 A212536 * A135227 A104325 A204925

Adjacent sequences:  A188274 A188275 A188276 * A188278 A188279 A188280

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 26 2011

STATUS

approved

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Last modified October 17 05:23 EDT 2018. Contains 316275 sequences. (Running on oeis4.)