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A212840
Number of 0..n arrays of length 7 with 0 never adjacent to n.
1
2, 577, 8042, 49835, 204994, 654797, 1758602, 4159927, 8927810, 17738489, 33102442, 58641827, 99423362, 162351685, 256628234, 394280687, 590768002, 865666097, 1243439210, 1754301979, 2435177282, 3330754877, 4494655882
OFFSET
1,1
COMMENTS
Row 6 of A212835.
LINKS
FORMULA
Empirical: a(n) = n^7 + 7*n^6 + 9*n^5 - 15*n^4 - 13*n^3 + 15*n^2 - 1*n - 1.
Conjectures from Colin Barker, Jul 21 2018: (Start)
G.f.: x*(2 + 561*x + 3482*x^2 + 1543*x^3 - 682*x^4 + 151*x^5 - 18*x^6 + x^7) / (1 - x)^8.
a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>8.
(End)
EXAMPLE
Some solutions for n=5:
..3....3....1....3....0....0....1....1....0....1....3....0....3....3....1....0
..5....1....4....4....0....3....1....3....3....2....5....3....5....3....0....1
..3....0....0....4....1....4....2....3....2....2....1....0....4....1....0....5
..3....4....0....3....4....4....4....0....0....3....2....1....5....3....2....1
..0....3....1....1....0....1....2....0....2....4....4....1....3....0....0....5
..1....1....2....3....2....5....1....0....3....1....5....4....3....3....4....2
..3....3....1....1....3....3....5....2....4....0....2....1....2....4....4....2
CROSSREFS
Cf. A212835.
Sequence in context: A003830 A134371 A306635 * A129697 A214911 A203770
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 28 2012
STATUS
approved