A203042 - OEIS

%I #5 Mar 31 2012 12:36:54

%S 637,2509,10195,41617,167293,672157,2708439,10930987,44061099,

%T 177493297,715170445,2882822977,11620082377,46830234183,188721650479,

%U 760586387715,3065439683491,12354624954343,49791490122951,200669308425987

%N Number of (n+3)X5 binary arrays with no more than one of any consecutive four bits set in any row or column

%C Column 2 of A203048

%H R. H. Hardin, <a href="/A203042/b203042.txt">Table of n, a(n) for n = 1..210</a>

%F 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)

%e Some solutions for n=3

%e ..0..0..1..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0

%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..1....0..0..0..0..0

%e ..0..0..0..0..0....0..1..0..0..0....0..0..1..0..0....0..0..0..0..1

%e ..1..0..0..0..0....0..0..0..1..0....0..0..0..1..0....0..0..0..0..0

%e ..0..0..0..1..0....1..0..0..0..0....0..1..0..0..0....0..1..0..0..0

%e ..0..0..1..0..0....0..0..0..0..0....1..0..0..0..0....0..0..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 27 2011