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

1,2

Comments

Row 6 of A200942

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

Example

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

Crossrefs

Sequence in context: A108937 A045565 A334903 * A217074 A110424 A114079

Adjacent sequences: A200942 A200943 A200944 * A200946 A200947 A200948

Keyword

nonn

Author

R. H. Hardin Nov 24 2011

Status

approved