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 A207664 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 0 vertically 1

%I #5 Mar 31 2012 12:37:18

%S 22,484,1140,9060,60762,264568,1806676,11731102,56370696,366295198,

%T 2305584648,11797984744,74304216762,457672368566,2444078888852,

%U 15070430981770,91449174571822,502943271185454,3056247964546120

%N Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 0 vertically

%C Row 6 of A207661

%H R. H. Hardin, <a href="/A207664/b207664.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +258*a(n-3) -117*a(n-4) -53*a(n-5) -19705*a(n-6) +1501*a(n-7) +402*a(n-8) +693667*a(n-9) +153521*a(n-10) -23703*a(n-11) -13468794*a(n-12) -6022326*a(n-13) -907531*a(n-14) +158152156*a(n-15) +97802651*a(n-16) +56247800*a(n-17) -1161690485*a(n-18) -905696501*a(n-19) -1007032463*a(n-20) +5242241314*a(n-21) +5245804386*a(n-22) +9050965149*a(n-23) -12559359193*a(n-24) -18515592164*a(n-25) -46462966205*a(n-26) -51807210*a(n-27) +29787027407*a(n-28) +138862804161*a(n-29) +105502777455*a(n-30) +43218342867*a(n-31) -212004435292*a(n-32) -347392897195*a(n-33) -333751477067*a(n-34) +3421837253*a(n-35) +497837303659*a(n-36) +737341567922*a(n-37) +617943948459*a(n-38) -115523581384*a(n-39) -737610746680*a(n-40) -1125956792330*a(n-41) -682734763554*a(n-42) +100356013222*a(n-43) +827340422607*a(n-44) +1009206649043*a(n-45) +487123384134*a(n-46) -64212492094*a(n-47) -546193263836*a(n-48) -397809785189*a(n-49) -213932493065*a(n-50) +57733969399*a(n-51) +26753405314*a(n-52) -14610413688*a(n-53) -15905873993*a(n-54) +78109144365*a(n-55) +141489028420*a(n-56) +113422960228*a(n-57) +7266079126*a(n-58) -63851364159*a(n-59) -90581056609*a(n-60) -47573701044*a(n-61) -2750004804*a(n-62) +19478558609*a(n-63) +22218638588*a(n-64) +9920976286*a(n-65) +4634864638*a(n-66) -3329427874*a(n-67) -6114010622*a(n-68) -3614672308*a(n-69) +173203041*a(n-70) +2505668489*a(n-71) +1323120879*a(n-72) -16931369*a(n-73) -502855584*a(n-74) -225824874*a(n-75) +24610633*a(n-76) +53854802*a(n-77) +18382886*a(n-78) -2350098*a(n-79) -2914986*a(n-80) -622311*a(n-81) +41609*a(n-82) +48901*a(n-83) +4833*a(n-84) -1215*a(n-85) for n>87

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified September 19 18:07 EDT 2024. Contains 376014 sequences. (Running on oeis4.)