A215190 T(n,k)=Number of arrays of n 0..k integers with no sum of consecutive elements equal to a disjoint adjacent sum of an equal number of elements

2, 3, 2, 4, 6, 2, 5, 12, 12, 0, 6, 20, 36, 18, 0, 7, 30, 80, 88, 30, 0, 8, 42, 150, 276, 216, 30, 0, 9, 56, 252, 664, 954, 440, 18, 0, 10, 72, 392, 1366, 2940, 2898, 896, 0, 0, 11, 90, 576, 2512, 7404, 11756, 8808, 1626, 0, 0, 12, 110, 810, 4264, 16092, 36864, 46972, 24014

Offset

1,1

Comments

Table starts

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

.2..6...12.....20......30.......42........56.........72.........90.......110

.2.12...36.....80.....150......252.......392........576........810......1100

.0.18...88....276.....664.....1366......2512.......4264.......6800.....10330

.0.30..216....954....2940.....7404.....16092......31560......57072.....96990

.0.30..440...2898...11756....36864.....95832.....219092.....452368....864810

.0.18..896...8808...46972...183438....570460....1520506....3584736...7709744

.0..0.1626..24014..172046...848802...3191034....9990182...27052236..65759590

.0..0.2980..65462..630456..3931086..17862744...65678336..204247760.561117076

.0..0.4692.160670.2139436.17086156..94691966..411561564.1477403080

.0..0.7214.394750.7274062.74389138.502572562.2581475090

Column 1 is zero for n>=4

Column 2 is zero for n>=8

Column 3 is zero for n>=51

Links

R. H. Hardin, Table of n, a(n) for n = 1..164

Example

Some solutions for n=6 k=4
..1....4....0....0....0....0....4....3....0....3....1....4....3....3....1....2
..3....3....3....3....4....4....2....4....3....0....3....2....0....4....0....3
..2....2....4....0....0....3....0....0....1....4....1....4....2....2....3....0
..0....1....3....4....2....2....4....2....4....3....2....3....4....0....4....4
..4....2....0....2....0....4....3....3....3....0....1....4....0....3....1....0
..3....0....1....3....4....2....4....4....1....2....4....1....3....2....4....3

Crossrefs

Row 2 is A002378

Row 3 is A011379

Sequence in context: A321326 A118978 A194998 * A214943 A202864 A328880

Adjacent sequences: A215187 A215188 A215189 * A215191 A215192 A215193

Keyword

nonn,tabl

Author

R. H. Hardin Aug 05 2012

Status

approved