A204405 - OEIS

%I #5 Mar 31 2012 12:37:01

%S 70193731,518498299,3226550173,23029550325,218058070601,2236958307511,

%T 24512116048486,287545807301142,2717272262993725,29263225432573267,

%U 343848133776237262,3294999373893908466,35512680584021263930

%N Number of (n+2)X7 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally

%C Column 5 of A204408

%H R. H. Hardin, <a href="/A204405/b204405.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 1459*a(n-3) +1966*a(n-4) +4770*a(n-5) -506169*a(n-6) -729427*a(n-7) -3282546*a(n-8) -3675924*a(n-9) +593623566*a(n-10) +951185496*a(n-11) -448513794*a(n-12) -1134670248*a(n-13) -109937354733*a(n-14) -77114079432*a(n-15) +279521405685*a(n-16) -459219944592*a(n-17) +4495749207192*a(n-18) -104133790895319*a(n-19) -323002370068452*a(n-20) -904277651409864*a(n-21) -1834603331470920*a(n-22) +8183503227524310*a(n-23) +53104054207803750*a(n-24) +160385257720234269*a(n-25) +27116289266862438*a(n-26) -358008897750745914*a(n-27) -2323633608815164830*a(n-28) -38965319111379563784*a(n-29) -45315387799040184984*a(n-30) -71831628696486933783*a(n-31) +961949802637047983886*a(n-32) +1928931499438085567358*a(n-33) +11098386323688924911358*a(n-34) -2781662912179647932907*a(n-35) -18944555420780928351*a(n-36) -180443740883973269163453*a(n-37) -174757345526978402459058*a(n-38) -1142655081431618149373196*a(n-39) -283873257921844853861508*a(n-40) -1758486400193961357313203*a(n-41) +5418976385678390064525933*a(n-42) -4333456233936328096284678*a(n-43) +52357850708967075345352317*a(n-44) +113875738890358473567768429*a(n-45) +332295902293018960798375482*a(n-46) +507808614055252846221859563*a(n-47) +1039268121466197777707272662*a(n-48) -1971166572615872347630335675*a(n-49) -4385193296346556587211012596*a(n-50) +3197026868983413864936749091*a(n-51) +4167793366663358828991037653*a(n-52) +1890644766282248394058214985*a(n-53) +7508799720706674292816020399*a(n-54) +2233085916306206014836593265*a(n-55) -3034648478031704823099463659*a(n-56) -1006738221464962955098662348*a(n-57) -459404171909369698783709196*a(n-58) +2414415236064884629304721732*a(n-59) +2254779373005991286687286144*a(n-60) +190196166013621067622528648*a(n-61) +64499687123220301474143972*a(n-62) +17220705727178598190290720*a(n-63) -175070382610419774734400*a(n-64) for n>75

%e Some solutions for n=3

%e ..1..1..1..0..1..0..2....1..1..1..0..0..2..0....0..2..1..0..2..2..2

%e ..0..0..1..1..0..1..2....2..1..0..1..2..0..2....0..1..0..1..0..1..2

%e ..0..1..2..2..1..0..0....0..1..2..2..0..1..2....0..1..2..2..1..0..0

%e ..0..2..0..1..2..1..1....0..0..1..2..1..2..0....2..0..1..2..2..1..0

%e ..1..0..1..2..0..2..2....1..0..0..1..2..2..0....0..0..0..1..2..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012