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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A200763

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..174

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

Adjacent sequences:  A200756 A200757 A200758 * A200760 A200761 A200762

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 22 2011

STATUS

approved

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Last modified May 14 22:40 EDT 2021. Contains 343909 sequences. (Running on oeis4.)