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A207179 Number of nX5 0..1 arrays avoiding 0 0 0 horizontally and 0 1 0 vertically 1

%I

%S 24,576,7915,105836,1507355,21722593,310484943,4425513760,63134328412,

%T 901227159937,12864169578564,183601169909753,2620373717197037,

%U 37399084988893847,533779392358514542,7618351848031247224

%N Number of nX5 0..1 arrays avoiding 0 0 0 horizontally and 0 1 0 vertically

%C Column 5 of A207182

%H R. H. Hardin, <a href="/A207179/b207179.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) -36*a(n-2) +634*a(n-3) +4098*a(n-4) +5462*a(n-5) +99665*a(n-6) -2831*a(n-7) -2711535*a(n-8) -5811471*a(n-9) -21595748*a(n-10) -50244781*a(n-11) +699156432*a(n-12) +2805186154*a(n-13) -1711985669*a(n-14) -23505060267*a(n-15) -41164099705*a(n-16) +4531263468*a(n-17) +230067134087*a(n-18) +623575317534*a(n-19) +491376424651*a(n-20) -1004604976989*a(n-21) -4315099768732*a(n-22) -8194599870080*a(n-23) -5269740168383*a(n-24) +9640114794896*a(n-25) +37729419354018*a(n-26) +71038437114243*a(n-27) +65206345331720*a(n-28) +6398077775057*a(n-29) -128912250552524*a(n-30) -313243092655199*a(n-31) -398842140156762*a(n-32) -410554148881289*a(n-33) -152310619852360*a(n-34) +174972950940365*a(n-35) +488932300795972*a(n-36) +728147007195199*a(n-37) +579508394228234*a(n-38) +432062400764247*a(n-39) +84249753457526*a(n-40) -114750756929761*a(n-41) -137702129617284*a(n-42) -144122080448237*a(n-43) -2109540225702*a(n-44) +39130879358369*a(n-45) +41776228840084*a(n-46) +41931377732835*a(n-47) -5407945067260*a(n-48) -10399911657259*a(n-49) -7890691832174*a(n-50) -7597475169707*a(n-51) +2336641327088*a(n-52) +2182853060509*a(n-53) +627246636214*a(n-54) +675379657161*a(n-55) -437255942895*a(n-56) -309434424065*a(n-57) +10359291184*a(n-58) -6522467343*a(n-59) +41315422680*a(n-60) +26330640167*a(n-61) -861631081*a(n-62) -654948570*a(n-63) -1173281053*a(n-64) -808363716*a(n-65) +55848554*a(n-66) +48087338*a(n-67) +8015714*a(n-68) +7272811*a(n-69) -159503*a(n-70) -369476*a(n-71) -45345*a(n-72) -63129*a(n-73) -4187*a(n-74) +1355*a(n-75) +401*a(n-76) +356*a(n-77) +18*a(n-78) -a(n-79) -a(n-80) -a(n-81)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 15 2012

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Last modified August 17 17:59 EDT 2022. Contains 356189 sequences. (Running on oeis4.)