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A202719
Number of (n+3)X4 binary arrays with no more than three of any consecutive four bits set in any row or column
1
41503, 556481, 7434207, 99003393, 1314926081, 17498361951, 232808384209, 3097094404143, 41200434998335, 548107943325361, 7291666805928431, 97003313178627425, 1290465724485507809, 17167484979766760671
OFFSET
1,1
COMMENTS
Column 1 of A202726
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) +45*a(n-2) +244*a(n-3) +1420*a(n-4) -1646*a(n-5) -3643*a(n-6) +1702*a(n-7) -9717*a(n-8) -244*a(n-9) +29540*a(n-10) -9860*a(n-11) +5273*a(n-12) -1004*a(n-13) +267*a(n-14) +364*a(n-15) -132*a(n-16) +18*a(n-17) -a(n-18) +2*a(n-19) +a(n-20)
EXAMPLE
Some solutions for n=2
..1..0..0..1....1..1..1..0....0..0..1..1....0..0..1..0....0..0..0..0
..0..0..0..1....1..0..1..0....0..1..1..1....1..0..0..0....0..0..1..0
..0..0..0..1....0..0..1..1....1..1..0..1....0..0..0..1....1..1..1..0
..0..0..0..0....1..0..0..1....1..1..1..0....0..0..1..1....1..1..1..0
..1..0..0..1....1..0..0..1....0..0..1..1....1..0..0..0....0..0..0..1
CROSSREFS
Sequence in context: A128150 A236615 A202726 * A202718 A165114 A002879
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 23 2011
STATUS
approved