A226410 T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nondecreasing -k..k vector equals n

2, 2, 3, 2, 14, 4, 2, 22, 23, 5, 2, 34, 74, 67, 6, 2, 50, 130, 192, 100, 7, 2, 66, 240, 479, 418, 202, 8, 2, 90, 358, 963, 1123, 921, 281, 9, 2, 114, 566, 1709, 2841, 2959, 1631, 479, 10, 2, 138, 766, 2893, 5567, 7821, 6041, 2946, 636, 11, 2, 170, 1112, 4633, 10865, 18389

Offset

1,1

Comments

Table starts

..2...2....2.....2......2......2......2......2.......2......2......2......2

..3..14...22....34.....50.....66.....90....114.....138....170....210....234

..4..23...74...130....240....358....566....766....1112...1408...1916...2362

..5..67..192...479....963...1709...2893...4633....6895..10079..14273..19437

..6.100..418..1123...2841...5567..10865..18583...31261..48727..75757.109221

..7.202..921..2959...7821..18389..38225..73227..132057.225713.369579

..8.281.1631..6041..18765..47291.113273.235677..465959.853593

..9.479.2946.12820..43447.123883.313726.729507.1543005

.10.636.4945.23401..91139.285370.798824

.11.971.7898.43439.184470.642627

Links

R. H. Hardin, Table of n, a(n) for n = 1..128

Example

Some solutions for n=3 k=4
.-2...-3...-2....1...-4....0...-1....0....1...-1...-1...-3...-2....0....1...-2
..1....0....3....3...-4....0....0....2....1....1....3...-1....0....1....2....2
..4....2....3....3....1....1....0....3....2....3....4....0....3....1....4....3

Crossrefs

Column 2 is A226334

Row 2 is A226341

Sequence in context: A016006 A285247 A016007 * A226340 A334663 A016008

Adjacent sequences: A226407 A226408 A226409 * A226411 A226412 A226413

Keyword

nonn,tabl

Author

R. H. Hardin Jun 06 2013

Status

approved