A226398 T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nonincreasing -k..k vector equals n.

2, 2, 2, 2, 12, 2, 2, 20, 12, 2, 2, 32, 68, 48, 2, 2, 48, 120, 146, 38, 2, 2, 64, 224, 448, 258, 128, 2, 2, 88, 344, 912, 874, 756, 92, 2, 2, 112, 552, 1646, 2674, 2498, 1012, 282, 2, 2, 136, 752, 2812, 5272, 6900, 4280, 1866, 182, 2, 2, 168, 1100, 4564, 10554, 17812

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

Table starts
.2...2....2.....2.....2......2......2.....2......2.....2.....2....2...2.2
.2..12...20....32....48.....64.....88...112....136...168...208..232.280
.2..12...68...120...224....344....552...752...1100..1398..1904.2356
.2..48..146...448...912...1646...2812..4564...6826..9996.14208
.2..38..258...874..2674...5272..10554.18170..30814.48204
.2.128..756..2498..6900..17812..37358.72000.130722
.2..92.1012..4280.15614..41428.109062
.2.282.1866.10992.37804.112060
.2.182.3762.18566.74606
.2.540.5020.32056
Some solutions for n=3 k=4
.-3....1...-4...-3...-1...-4....3...-3...-4...-1...-3...-4...-3...-1....2...-2
..0....3...-1...-3....2...-1....3....1...-3....1...-3...-1...-1....1....3....1
..2....4....1....0....3....0....3....4....2....3....2....3....0....4....3....4

Crossrefs

Sequence in context: A316497 A377472 A084961 * A382625 A248768 A382457

Adjacent sequences: A226395 A226396 A226397 * A226399 A226400 A226401

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 06 2013

Status

approved