login
A241612
Number of length n+2 0..6 arrays with no consecutive three elements summing to more than 6
1
84, 336, 1344, 5040, 19374, 75180, 289248, 1113348, 4294574, 16553380, 63784786, 245853464, 947613919, 3652200016, 14076313291, 54253546534, 209104275023, 805930938847, 3106231773354, 11972077046301, 46142909963825
OFFSET
1,1
COMMENTS
Column 6 of A241619
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +a(n-2) +16*a(n-3) -20*a(n-4) -18*a(n-5) -65*a(n-6) +65*a(n-7) +41*a(n-8) +132*a(n-9) -130*a(n-10) -49*a(n-11) -144*a(n-12) +153*a(n-13) +31*a(n-14) +113*a(n-15) -115*a(n-16) -11*a(n-17) -60*a(n-18) +55*a(n-19) +4*a(n-20) +23*a(n-21) -21*a(n-22) -a(n-23) -5*a(n-24) +4*a(n-25) +a(n-27) -a(n-28)
EXAMPLE
Some solutions for n=5
..0....3....0....3....4....1....2....3....4....1....3....4....2....4....0....2
..0....2....1....0....1....1....0....0....0....5....2....1....0....0....0....3
..1....1....3....0....1....4....1....1....2....0....1....0....2....1....3....0
..3....0....1....3....3....0....1....1....0....1....1....2....3....3....0....3
..0....1....0....0....0....0....0....3....0....1....2....0....1....1....2....2
..3....1....2....0....2....1....4....0....0....0....0....0....1....1....4....1
..2....2....4....0....4....3....0....0....3....4....0....1....1....3....0....3
CROSSREFS
Sequence in context: A306516 A131072 A210645 * A227708 A229537 A083986
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 26 2014
STATUS
approved