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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 19 05:18 EDT 2021. Contains 345125 sequences. (Running on oeis4.)