cp's OEIS Frontend

A318544 Number of nX7 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%I A318544 #4 Aug 28 2018 11:06:27
%S A318544 21,26,107,516,2349,10496,46165,208159,942764,4213744,18870716,
%T A318544 84794983,380556843,1707239770,7660779072,34376713801,154258564357,
%U A318544 692193258418,3106040446532,13937625995076,62541652378393,280640300310752
%N A318544 Number of nX7 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C A318544 Column 7 of A318545.
%H A318544 R. H. Hardin, <a href="/A318544/b318544.txt">Table of n, a(n) for n = 1..210</a>
%F A318544 Empirical: a(n) = a(n-1) +46*a(n-3) +50*a(n-4) +275*a(n-5) -43*a(n-6) +362*a(n-7) -1637*a(n-8) -271*a(n-9) -3396*a(n-10) +3146*a(n-11) +3432*a(n-12) +6889*a(n-13) +7881*a(n-14) -20207*a(n-15) -21749*a(n-16) +31606*a(n-17) -30087*a(n-18) -43803*a(n-19) +168405*a(n-20) +76348*a(n-21) -293820*a(n-22) -123142*a(n-23) +290600*a(n-24) +147574*a(n-25) -215762*a(n-26) -149500*a(n-27) +261780*a(n-28) +316118*a(n-29) -671671*a(n-30) -764286*a(n-31) +1504462*a(n-32) +1206660*a(n-33) -2414304*a(n-34) -1168911*a(n-35) +2765306*a(n-36) +641957*a(n-37) -2226787*a(n-38) -174104*a(n-39) +1245814*a(n-40) +84501*a(n-41) -498990*a(n-42) -153476*a(n-43) +165047*a(n-44) +149749*a(n-45) -57567*a(n-46) -84000*a(n-47) +18254*a(n-48) +31251*a(n-49) -1064*a(n-50) -8936*a(n-51) -2803*a(n-52) +2260*a(n-53) +1619*a(n-54) -469*a(n-55) -485*a(n-56) +34*a(n-57) +95*a(n-58) +23*a(n-59) -11*a(n-60) -8*a(n-61) +a(n-63) for n>64
%e A318544 Some solutions for n=5
%e A318544 ..0..1..0..0..0..0..0. .0..0..0..0..0..0..0. .0..1..0..0..1..0..0
%e A318544 ..0..0..0..0..0..1..0. .0..0..0..0..0..1..0. .0..0..0..0..0..0..0
%e A318544 ..0..0..0..0..0..0..0. .0..0..1..0..0..0..0. .0..0..0..0..0..0..0
%e A318544 ..0..0..1..0..0..0..0. .0..0..0..0..0..0..1. .1..0..0..0..1..0..0
%e A318544 ..0..0..0..0..0..0..0. .0..0..0..1..0..0..0. .0..0..0..0..0..0..0
%Y A318544 Cf. A318545.
%K A318544 nonn
%O A318544 1,1
%A A318544 _R. H. Hardin_, Aug 28 2018