OFFSET
1,1
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = n^7 + (69/20)*n^6 + (7/2)*n^5 + (7/6)*n^4 - (7/60)*n^2.
Conjectures from Colin Barker, Jan 10 2019: (Start)
G.f.: x*(9 + 407*x + 2066*x^2 + 2136*x^3 + 421*x^4 + x^5) / (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....0....1....1....0....1....0....4....1....5....1....0....1....4....1....3
..1....3....5....3....5....2....4....3....0....3....5....2....5....1....0....0
..0....0....3....4....0....5....3....2....5....5....5....5....5....0....2....4
..1....4....0....1....2....3....2....5....1....3....1....3....4....3....0....5
..4....5....1....3....1....0....4....5....3....1....1....1....4....1....3....5
..5....3....2....4....0....1....3....2....4....3....3....0....2....4....2....2
..2....2....2....3....5....2....1....2....4....1....3....2....0....0....4....3
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 12 2016
STATUS
approved