A200945 Number of 0..n arrays x(0..5) of 6 elements with nondecreasing average value and 0..n occur with instance counts within one of each other.
1, 6, 40, 61, 20, 134, 536, 1613, 4023, 8842, 17681, 32835, 57465, 95825, 153352, 237104, 355792, 520226, 743448, 1041280, 1432241, 1938480, 2585494, 3403125, 4425342, 5691528, 7245651, 9138376, 11425775, 14171497, 17445655, 21327385
Offset: 1
Keywords
Examples
Some solutions for n=8 ..2....0....0....0....0....0....0....0....0....0....0....0....0....0....1....1 ..3....1....2....2....2....2....2....1....1....2....5....1....2....4....2....4 ..4....4....1....1....3....7....6....7....7....1....6....4....1....2....3....8 ..5....3....4....7....5....3....3....4....5....8....4....2....4....6....5....5 ..8....7....5....4....6....6....4....3....8....5....8....8....6....5....6....7 ..7....8....8....8....8....4....5....8....6....6....7....5....8....8....8....6
Links
- R. H. Hardin, Table of n, a(n) for n = 1..143
Formula
Empirical: a(n) = -a(n-1) -a(n-2) +a(n-6) +2*a(n-7) +4*a(n-8) +3*a(n-9) +3*a(n-10) +2*a(n-11) +2*a(n-12) -3*a(n-14) -4*a(n-15) -5*a(n-16) -5*a(n-17) -7*a(n-18) -7*a(n-19) -5*a(n-20) -2*a(n-21) +3*a(n-24) +6*a(n-25) +8*a(n-26) +7*a(n-27) +6*a(n-28) +7*a(n-29) +7*a(n-30) +5*a(n-31) +a(n-32) -a(n-35) -5*a(n-36) -7*a(n-37) -7*a(n-38) -6*a(n-39) -7*a(n-40) -8*a(n-41) -6*a(n-42) -3*a(n-43) +2*a(n-46) +5*a(n-47) +7*a(n-48) +7*a(n-49) +5*a(n-50) +5*a(n-51) +4*a(n-52) +3*a(n-53) -2*a(n-55) -2*a(n-56) -3*a(n-57) -3*a(n-58) -4*a(n-59) -2*a(n-60) -a(n-61) +a(n-65) +a(n-66) +a(n-67) for n>71
Comments