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

Author

R. H. Hardin Aug 05 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 2 is A002378

Row 3 is A011379