login
A203042
Number of (n+3)X5 binary arrays with no more than one of any consecutive four bits set in any row or column
1
637, 2509, 10195, 41617, 167293, 672157, 2708439, 10930987, 44061099, 177493297, 715170445, 2882822977, 11620082377, 46830234183, 188721650479, 760586387715, 3065439683491, 12354624954343, 49791490122951, 200669308425987
OFFSET
1,1
COMMENTS
Column 2 of A203048
LINKS
FORMULA
Empirical: a(n) = a(n-1) +5*a(n-2) +4*a(n-3) +74*a(n-4) +142*a(n-5) +14*a(n-6) -255*a(n-7) -769*a(n-8) -1975*a(n-9) -2414*a(n-10) +146*a(n-11) +6836*a(n-12) +14885*a(n-13) +10723*a(n-14) -6745*a(n-15) -22746*a(n-16) -19395*a(n-17) -9670*a(n-18) +4291*a(n-19) +5216*a(n-20) +6347*a(n-21) +13183*a(n-22) +6908*a(n-23) -2602*a(n-24) -522*a(n-25) +3214*a(n-26) -20*a(n-27) -1174*a(n-28) +828*a(n-29) +167*a(n-30) -676*a(n-31) -130*a(n-32) -7*a(n-33) -79*a(n-34) -25*a(n-35) +4*a(n-37) +a(n-38)
EXAMPLE
Some solutions for n=3
..0..0..1..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..1....0..0..0..0..0
..0..0..0..0..0....0..1..0..0..0....0..0..1..0..0....0..0..0..0..1
..1..0..0..0..0....0..0..0..1..0....0..0..0..1..0....0..0..0..0..0
..0..0..0..1..0....1..0..0..0..0....0..1..0..0..0....0..1..0..0..0
..0..0..1..0..0....0..0..0..0..0....1..0..0..0..0....0..0..0..0..0
CROSSREFS
Sequence in context: A203054 A198774 A043483 * A203887 A203880 A250465
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 27 2011
STATUS
approved