A207782 - OEIS

%I #7 Sep 10 2023 20:58:15

%S 13,169,611,2173,6766,22322,75557,246840,813373,2700122,8903029,

%T 29382065,97138711,320761206,1059193011,3498970917,11556218541,

%U 38166121069,126060198626,416354317573,1375125698303,4541820382522,15000835767813

%N Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

%C Column 5 of A207785.

%H R. H. Hardin, <a href="/A207782/b207782.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +26*a(n-3) +11*a(n-4) +11*a(n-5) -159*a(n-6) -131*a(n-7) -15*a(n-8) +405*a(n-9) +166*a(n-10) -133*a(n-11) -459*a(n-12) +422*a(n-13) -183*a(n-14) -218*a(n-15) -63*a(n-16) +1668*a(n-17) -64*a(n-18) -1008*a(n-19) -555*a(n-20) +963*a(n-21) -269*a(n-22) -127*a(n-23) -263*a(n-24) +742*a(n-25) +360*a(n-26) -571*a(n-27) -218*a(n-28) +176*a(n-29) -105*a(n-30) -307*a(n-31) +2*a(n-32) +187*a(n-33) +39*a(n-34) +15*a(n-35) -8*a(n-36) -19*a(n-37) +2*a(n-38) +14*a(n-39) -6*a(n-41) for n>45.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A207785.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 20 2012