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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 5
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 15 23:51 EDT 2022. Contains 353687 sequences. (Running on oeis4.)