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A200158 Number of 0..n arrays x(0..6) of 7 elements with zero 6th difference 1
2, 45, 182, 685, 2036, 5153, 11370, 23035, 43284, 76523, 129052, 208597, 324900, 491519, 723994, 1041095, 1467042, 2029069, 2759166, 3697749, 4888510, 6381185, 8237500, 10523625, 13313648, 16697587, 20769202, 25633157, 31415424, 38246327 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 7 of A200154

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-6) -4*a(n-7) +2*a(n-8) -a(n-12) +2*a(n-13) -a(n-14) +2*a(n-15) -4*a(n-16) +2*a(n-17) +a(n-20) -6*a(n-21) +9*a(n-22) -4*a(n-23) -2*a(n-26) +6*a(n-27) -6*a(n-28) +2*a(n-29) -a(n-30) +2*a(n-31) -2*a(n-33) +a(n-34) -2*a(n-35) +6*a(n-36) -6*a(n-37) +2*a(n-38) +4*a(n-41) -9*a(n-42) +6*a(n-43) -a(n-44) -2*a(n-47) +4*a(n-48) -2*a(n-49) +a(n-50) -2*a(n-51) +a(n-52) -2*a(n-56) +4*a(n-57) -2*a(n-58) +a(n-62) -2*a(n-63) +a(n-64)

EXAMPLE

Some solutions for n=6

..1....3....1....4....0....2....1....5....0....2....2....1....5....5....2....0

..6....0....1....6....6....5....5....6....3....1....0....6....3....0....0....6

..5....1....6....3....3....3....0....0....2....0....3....6....0....3....2....2

..2....1....5....4....1....2....0....1....2....2....1....3....3....5....1....1

..0....1....1....6....2....3....2....4....2....3....0....2....5....4....1....4

..1....3....0....4....4....4....1....2....1....1....5....5....1....2....5....6

..6....5....0....1....5....2....5....3....4....5....3....5....4....2....3....2

CROSSREFS

Sequence in context: A302220 A302666 A304693 * A316444 A316126 A317432

Adjacent sequences:  A200155 A200156 A200157 * A200159 A200160 A200161

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 13 2011

STATUS

approved

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Last modified June 16 20:32 EDT 2021. Contains 345069 sequences. (Running on oeis4.)