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
Keywords
Examples
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
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)
Comments