OFFSET
1,1
COMMENTS
Column 5 of A267232.
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 20*a(n-1) -160*a(n-2) +650*a(n-3) -1399*a(n-4) +1490*a(n-5) -600*a(n-6) for n>7.
Conjectures from Colin Barker, Feb 05 2018: (Start)
G.f.: x*(6 - 84*x + 435*x^2 - 1010*x^3 + 969*x^4 - 172*x^5 - 120*x^6) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)^2).
a(n) = (-5*(15 + 5*2^(1+n) + 10*3^n + 15*4^n - 97*5^n) + 12*5^n*n) / 300 for n>1.
(End)
EXAMPLE
Some solutions for n=6:
..4....2....5....3....4....5....0....0....2....5....4....2....3....3....3....1
..3....1....4....3....5....2....3....3....5....1....3....5....0....4....5....5
..5....4....1....0....1....4....2....1....5....3....4....2....4....4....4....3
..2....1....2....2....4....5....3....5....1....4....3....0....4....1....4....2
..2....5....3....2....5....3....0....0....0....0....4....2....2....1....1....0
..1....3....1....2....0....5....0....5....3....4....4....3....2....1....2....2
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 12 2016
STATUS
approved