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A223679 Number of nX7 0..1 arrays with rows and antidiagonals unimodal 1

%I

%S 29,841,16857,275775,4123210,58944337,821284360,11265254628,

%T 152970187735,2064772010660,27771600878598,372727832822131,

%U 4995706936865652,66902046494918683,895490435068510617,11982518313043515007

%N Number of nX7 0..1 arrays with rows and antidiagonals unimodal

%C Column 7 of A223680

%H R. H. Hardin, <a href="/A223679/b223679.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 29*a(n-1) -296*a(n-2) +1435*a(n-3) -3427*a(n-4) -7828*a(n-5) +49592*a(n-6) +352558*a(n-7) -636195*a(n-8) -10876335*a(n-9) +33814287*a(n-10) +11969416*a(n-11) -303909144*a(n-12) +441678604*a(n-13) +3422280936*a(n-14) -8859148026*a(n-15) +852850231*a(n-16) -40652559025*a(n-17) +224135872305*a(n-18) -288423328788*a(n-19) -387179703160*a(n-20) +1064968890514*a(n-21) +233134451136*a(n-22) -1109142831534*a(n-23) +8548651106250*a(n-24) -48852225377678*a(n-25) +122390385655489*a(n-26) -195703619047481*a(n-27) +392869508379804*a(n-28) -1151435265560089*a(n-29) +2171538014535193*a(n-30) -2300815249155302*a(n-31) +1897414184113747*a(n-32) -1653214464072941*a(n-33) -137348547691080*a(n-34) +9036579264546509*a(n-35) -25618517273435769*a(n-36) +39827335881630628*a(n-37) -72361643136916710*a(n-38) +153209010276945668*a(n-39) -202596443036523874*a(n-40) +120138000799594382*a(n-41) +3287904513855923*a(n-42) -79300534420052725*a(n-43) +265881642838692769*a(n-44) -575489964002754564*a(n-45) +652989472152746893*a(n-46) -369186741991254341*a(n-47) -11325499984554073*a(n-48) +358162777599477400*a(n-49) -655515344162720269*a(n-50) +756584002882183489*a(n-51) -633515360531580266*a(n-52) +387864257955999943*a(n-53) +2512474825339141*a(n-54) -446721853742066924*a(n-55) +629695429101778274*a(n-56) -471305399541927500*a(n-57) +240594715609426998*a(n-58) -155135547438406450*a(n-59) +164328285437212760*a(n-60) -133901062998735172*a(n-61) +59901911520102136*a(n-62) -6917958139189656*a(n-63) -14599393419547920*a(n-64) +23267385598748520*a(n-65) -22070070657235008*a(n-66) +12659868667050624*a(n-67) -4121488825869312*a(n-68) +681725317178880*a(n-69) -43934723481600*a(n-70)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 25 2013

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Last modified January 23 07:56 EST 2022. Contains 350510 sequences. (Running on oeis4.)