OFFSET
1,1
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = n^7 + 2*n^6 + 4*n^5 + 5*n^4 + (17/3)*n^3 + 3*n^2 - (2/3)*n.
Conjectures from Colin Barker, Nov 10 2018: (Start)
G.f.: 20*x*(1 + 4*x + x^2)*(1 + 14*x + 23*x^2 + 4*x^3) / (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:
..2....2....1....2....5....0....2....2....1....1....1....5....0....3....1....1
..3....4....2....0....1....1....0....4....1....1....5....0....5....2....2....3
..0....4....5....2....2....3....4....5....1....3....3....5....1....2....5....2
..0....5....3....5....4....4....0....0....3....2....0....2....2....5....3....0
..0....1....4....5....1....5....4....5....4....0....4....1....5....4....4....4
..1....1....2....3....4....5....5....0....5....4....1....5....3....1....1....5
..3....3....0....2....3....1....1....0....4....0....5....0....0....4....2....1
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 10 2014
STATUS
approved