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A200085
Number of 0..n arrays x(0..6) of 7 elements with zero 5th differences
1
2, 9, 18, 37, 108, 245, 454, 759, 1172, 2001, 3144, 4663, 6568, 8945, 12690, 17353, 23022, 29787, 37710, 48921, 62130, 77465, 95100, 115177, 141596, 171767, 205850, 244065, 286652, 340277, 400038, 466375, 539488, 619685, 717388, 824733, 942014
OFFSET
1,1
COMMENTS
Row 6 of A200082
LINKS
FORMULA
Empirical: a(n) = a(n-1) +a(n-5) -a(n-7) +a(n-10) -2*a(n-11) +a(n-12) -a(n-16) +a(n-17) -a(n-20) +a(n-21) -a(n-25) +2*a(n-26) -a(n-27) +a(n-30) -a(n-32) -a(n-36) +a(n-37) +a(n-45) -a(n-46) -a(n-50) +a(n-52) -a(n-55) +2*a(n-56) -a(n-57) +a(n-61) -a(n-62) +a(n-65) -a(n-66) +a(n-70) -2*a(n-71) +a(n-72) -a(n-75) +a(n-77) +a(n-81) -a(n-82)
EXAMPLE
Some solutions for n=6
..6....3....0....6....5....5....5....6....5....0....2....5....0....3....0....0
..5....5....1....4....1....6....5....2....1....4....1....2....3....3....5....6
..3....3....0....3....1....2....6....0....3....6....2....3....1....5....5....6
..3....1....0....2....3....0....5....1....4....5....3....5....0....6....3....5
..5....1....2....1....5....2....2....4....2....2....3....6....2....5....1....5
..6....3....5....1....5....5....0....6....0....0....2....5....5....3....0....5
..0....5....6....4....1....1....5....2....6....4....1....2....3....3....0....1
CROSSREFS
Sequence in context: A294543 A295956 A296843 * A083708 A280588 A191520
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 13 2011
STATUS
approved