A200943 Number of 0..n arrays x(0..3) of 4 elements with nondecreasing average value and 0..n occur with instance counts within one of each other

1, 7, 3, 15, 46, 107, 213, 383, 636, 997, 1492, 2151, 3005, 4092, 5447, 7114, 9135, 11559, 14433, 17814, 21753, 26313, 31552, 37538, 44334, 52016, 60651, 70321, 81100, 93075, 106325, 120945, 137018, 154645, 173916, 194937, 217803, 242628, 269511

Offset

1,2

Comments

Row 4 of A200942

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) -3*a(n-3) -a(n-4) +a(n-5) +3*a(n-6) -a(n-7) -2*a(n-8) +a(n-9) for n>11

Empirical g.f.: x+7x^2 -x^3*(3+9*x+13*x^2+x^4+9*x^3) / ( (1+x+x^2)*(1+x)^2*(x-1)^5 ). - R. J. Mathar, Nov 25 2011

Example

Some solutions for n=8
..1....1....0....1....0....0....1....2....1....3....1....2....4....0....0....1
..7....3....1....2....1....1....4....5....6....7....4....4....5....2....2....4
..6....2....2....3....5....6....5....4....4....5....5....7....8....8....4....6
..8....4....5....8....4....7....6....8....8....8....7....8....7....4....8....8

Crossrefs

Sequence in context: A255772 A195159 A279353 * A357113 A283289 A357200

Adjacent sequences: A200940 A200941 A200942 * A200944 A200945 A200946

Keyword

nonn

Author

R. H. Hardin Nov 24 2011

Status

approved