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 A204798 Number of (n+1)X7 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing 1

%I #5 Mar 31 2012 12:37:03

%S 2470,81009,1729515,40446826,897624021,20321241222,457771763592,

%T 10349816580258,233898610967332,5291686709807456,119734597388684466,

%U 2709901857601581356,61334089078588023530,1388261952295979222488

%N Number of (n+1)X7 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing

%C Column 6 of A204800

%H R. H. Hardin, <a href="/A204798/b204798.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 87*a(n-1) -3076*a(n-2) +53166*a(n-3) -316258*a(n-4) -4561602*a(n-5) +103113372*a(n-6) -646793712*a(n-7) -2678322545*a(n-8) +65954804463*a(n-9) -312205461536*a(n-10) -1175324782270*a(n-11) +18731074388332*a(n-12) -50374427356796*a(n-13) -328105943470736*a(n-14) +2529557534926456*a(n-15) -1548852076117760*a(n-16) -43806777969422464*a(n-17) +149988182634786176*a(n-18) +270551543226518016*a(n-19) -2617915229591756800*a(n-20) +2364619126009248768*a(n-21) +22903213646898888704*a(n-22) -62548577344515350528*a(n-23) -91147135317302099968*a(n-24) +603383613575877828608*a(n-25) -198589101943030480896*a(n-26) -3395872361455628943360*a(n-27) +4890330820676899831808*a(n-28) +11487321892485940641792*a(n-29) -32097669051545838682112*a(n-30) -17569170579313163501568*a(n-31) +126404155949644842532864*a(n-32) -34038748005041321279488*a(n-33) -334495646285872762978304*a(n-34) +279819498660530160140288*a(n-35) +606469642463308645662720*a(n-36) -846323376849379552919552*a(n-37) -725859584595244810764288*a(n-38) +1610549543510835546030080*a(n-39) +482571198496321742831616*a(n-40) -2125965718783684046225408*a(n-41) +14616176476978702974976*a(n-42) +2007036888385164295536640*a(n-43) -381081820170999448993792*a(n-44) -1365217238069466273677312*a(n-45) +400595635756684657295360*a(n-46) +665155678134904706564096*a(n-47) -220930269489537967194112*a(n-48) -227370246545569610727424*a(n-49) +70302622319138853355520*a(n-50) +51920838140066214707200*a(n-51) -11903588868517640798208*a(n-52) -7038852623902722490368*a(n-53) +786794617500321447936*a(n-54) +407350586295661363200*a(n-55) for n>67

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 19 2012

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Last modified October 3 11:38 EDT 2023. Contains 365861 sequences. (Running on oeis4.)