A200766 Number of 0..n arrays x(0..5) of 6 elements with nondecreasing average value

7, 53, 233, 767, 2070, 4874, 10283, 20012, 36412, 62780, 103412, 164018, 251615, 375282, 545834, 776713, 1083692, 1485962, 2005409, 2668396, 3504549, 4548781, 5840076, 7423854, 9349952, 11676207, 14465536, 17789881, 21727318, 26366500

Offset

1,1

Comments

Row 6 of A200763

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) -2*a(n-4) -3*a(n-5) +2*a(n-6) +2*a(n-7) +4*a(n-8) -5*a(n-9) -4*a(n-10) -a(n-11) +5*a(n-12) +7*a(n-13) -5*a(n-14) -3*a(n-15) -6*a(n-16) +6*a(n-17) +4*a(n-18) +a(n-19) -a(n-20) -7*a(n-21) +2*a(n-22) -2*a(n-23) +7*a(n-24) +a(n-25) -a(n-26) -4*a(n-27) -6*a(n-28) +6*a(n-29) +3*a(n-30) +5*a(n-31) -7*a(n-32) -5*a(n-33) +a(n-34) +4*a(n-35) +5*a(n-36) -4*a(n-37) -2*a(n-38) -2*a(n-39) +3*a(n-40) +2*a(n-41) -a(n-42) -a(n-43) -a(n-44) +a(n-45)

Example

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

Crossrefs

Sequence in context: A253123 A352459 A141911 * A056590 A223778 A223712

Adjacent sequences: A200763 A200764 A200765 * A200767 A200768 A200769

Keyword

nonn

Author

R. H. Hardin Nov 22 2011

Status

approved