A200085 - OEIS

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A200085

Number of 0..n arrays x(0..6) of 7 elements with zero 5th differences

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

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

OFFSET

1,1

COMMENTS

Row 6 of A200082

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

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

Adjacent sequences: A200082 A200083 A200084 * A200086 A200087 A200088

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 13 2011

STATUS

approved