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A206938 Number of 5Xn 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically 1

%I

%S 20,400,2791,35277,418876,4293648,48992069,546661165,5986733234,

%T 66776396560,740545952667,8196172294413,90988669114872,

%U 1008790342818024,11183071288718717,124031269447384377,1375258070874954382

%N Number of 5Xn 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically

%C Row 5 of A206936

%H R. H. Hardin, <a href="/A206938/b206938.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +33*a(n-2) +897*a(n-3) +1216*a(n-4) -172*a(n-5) -172512*a(n-6) -136296*a(n-7) -663540*a(n-8) +16145066*a(n-9) +2132746*a(n-10) +76576170*a(n-11) -895945358*a(n-12) +299255796*a(n-13) -4076482592*a(n-14) +31760107024*a(n-15) -18626987843*a(n-16) +125293836759*a(n-17) -749721124845*a(n-18) +510779157507*a(n-19) -2434099233900*a(n-20) +12170480998092*a(n-21) -8257780754916*a(n-22) +31602690880140*a(n-23) -139986799888090*a(n-24) +87062750054676*a(n-25) -285656217790560*a(n-26) +1172731413610312*a(n-27) -631255500643562*a(n-28) +1853915779651132*a(n-29) -7330406357696020*a(n-30) +3249857251662812*a(n-31) -8842175750767375*a(n-32) +34885350497514335*a(n-33) -12098515981961089*a(n-34) +31525500821669527*a(n-35) -128445036539939216*a(n-36) +32740011542315500*a(n-37) -85022713112119888*a(n-38) +370329090634209248*a(n-39) -63549091810229280*a(n-40) +174737509681435978*a(n-41) -843149242259738350*a(n-42) +83729368985865890*a(n-43) -274690402302039906*a(n-44) +1523806126011747852*a(n-45) -59591530704940744*a(n-46) +330656576227930056*a(n-47) -2191572788384744005*a(n-48) -19402588197381527*a(n-49) -304748398056467227*a(n-50) +2509084399345845061*a(n-51) +113060873365627524*a(n-52) +215358782381254484*a(n-53) -2283316528394611652*a(n-54) -160577129483819604*a(n-55) -117689020942884674*a(n-56) +1646799661912575816*a(n-57) +140943594971287364*a(n-58) +51023722077500492*a(n-59) -937434257867540614*a(n-60) -86076791906215996*a(n-61) -18496617526755588*a(n-62) +418949351756413452*a(n-63) +37741099446828344*a(n-64) +5979954435404544*a(n-65) -146019036757448120*a(n-66) -11913982132872832*a(n-67) -1757200905107720*a(n-68) +39350976007600672*a(n-69) +2668080069830552*a(n-70) +444098891501200*a(n-71) -8105224778418928*a(n-72) -408706578750064*a(n-73) -88900962500832*a(n-74) +1255436964516160*a(n-75) +39392807981344*a(n-76) +13165241544320*a(n-77) -142889361923008*a(n-78) -1822249917952*a(n-79) -1365432189824*a(n-80) +11557462558592*a(n-81) -36395815424*a(n-82) +93701815296*a(n-83) -632341828096*a(n-84) +8655338496*a(n-85) -3917435904*a(n-86) +21683425280*a(n-87) -343390208*a(n-88) +83372032*a(n-89) -409018368*a(n-90) +3276800*a(n-91) -458752*a(n-92) +3211264*a(n-93)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 13 2012

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Last modified August 14 06:54 EDT 2022. Contains 356110 sequences. (Running on oeis4.)