login
A202909
Number of nX1 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor
1
1, 8, 64, 372, 1856, 9052, 45648, 235538, 1215616, 6233356, 31868448, 163014678, 834763824, 4276077566, 21900661172, 112149148911, 574278200480, 2940790043388, 15059692639376, 77120252989206, 394927990211792
OFFSET
1,2
COMMENTS
Column 1 of A202916
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) -28*a(n-2) +84*a(n-3) -126*a(n-4) +252*a(n-5) -210*a(n-6) +330*a(n-7) -165*a(n-8) +220*a(n-9) -66*a(n-10) +78*a(n-11) -13*a(n-12) +14*a(n-13) -a(n-14) +a(n-15)
EXAMPLE
Some solutions for n=4
..2....0....2....3....6....4....6....2....7....4....6....2....1....6....4....3
..6....5....2....3....6....7....6....3....7....4....6....6....4....7....4....3
..6....5....3....4....3....7....5....7....2....7....5....6....4....7....0....1
..4....2....3....4....0....3....0....7....0....7....2....2....0....0....0....0
CROSSREFS
Sequence in context: A224151 A225014 A228460 * A203437 A224132 A297376
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 26 2011
STATUS
approved