login
A200759
Number of 0..3 arrays x(0..n-1) of n elements with nondecreasing average value
3
4, 10, 23, 51, 110, 233, 488, 1013, 2088, 4278, 8720, 17695, 35768, 72054, 144717, 289887, 579312, 1155257, 2299426, 4568935, 9064316, 17957296, 35529320, 70213565, 138607340, 273351142, 538591471, 1060310343, 2085784818, 4100099321
OFFSET
1,1
COMMENTS
Column 3 of A200763
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) -8*a(n-2) +3*a(n-3) +3*a(n-4) -2*a(n-5) +a(n-6) -3*a(n-7) +2*a(n-8) -a(n-9) +a(n-10).
Empirical g.f.: -x*(4-10*x+5*x^2+4*x^3-3*x^4-3*x^6+x^9+2*x^7-x^8) / ( (x-1)*(x^3+x^2+x-1)*(x^6-x^5+2*x^4-x^3-2*x^2+3*x-1) ). - R. J. Mathar, Nov 22 2011
EXAMPLE
Some solutions for n=8
..0....0....1....0....0....0....0....0....1....0....0....0....0....0....0....0
..0....0....1....3....0....0....2....0....2....0....0....0....0....2....2....0
..0....0....1....3....3....2....1....1....2....3....1....0....1....3....1....0
..0....2....1....2....2....2....1....1....2....3....1....3....2....2....2....3
..0....2....1....2....2....3....1....1....2....2....3....1....1....3....3....1
..0....2....2....2....3....3....2....3....3....3....3....2....3....3....2....2
..1....1....3....2....2....2....2....1....3....2....3....1....2....3....2....1
..3....3....3....2....2....2....2....1....3....2....3....3....2....3....3....1
CROSSREFS
Sequence in context: A057750 A295059 A118645 * A159347 A137531 A102549
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 22 2011
STATUS
approved