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A252369 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7 9

%I #4 Dec 17 2014 08:38:58

%S 130,152,152,282,276,282,658,834,834,658,1482,2338,3054,2338,1482,

%T 3188,6298,10450,10450,6298,3188,6954,17340,36078,45516,36078,17340,

%U 6954,15432,48034,124538,192946,192946,124538,48034,15432,34120,132168,427362

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7

%C Table starts

%C ...130.....152......282.......658.......1482........3188..........6954

%C ...152.....276......834......2338.......6298.......17340.........48034

%C ...282.....834.....3054.....10450......36078......124538........427362

%C ...658....2338....10450.....45516.....192946......818040.......3482672

%C ..1482....6298....36078....192946....1007920.....5340334......28210122

%C ..3188...17340...124538....818040....5340334....35124242.....230366506

%C ..6954...48034...427362...3482672...28210122...230366506....1875961304

%C .15432..132168..1470006..14848406..148778446..1511215256...15268178994

%C .34120..363764..5070814..63260032..786842266..9934409558..124565591414

%C .74978.1002682.17463766.269276490.4159988004.65227813792.1015416647500

%H R. H. Hardin, <a href="/A252369/b252369.txt">Table of n, a(n) for n = 1..337</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1) +3*a(n-3) +4*a(n-4) +4*a(n-5) +2*a(n-6) for n>8

%F k=2: [order 8] for n>9

%F k=3: [order 15] for n>17

%F k=4: [order 23] for n>25

%F k=5: [order 43] for n>45

%F k=6: [order 71] for n>73

%e Some solutions for n=4 k=4

%e ..3..3..3..3..2..3....3..3..3..3..3..2....0..0..0..2..0..0....0..0..0..0..0..0

%e ..2..3..3..3..3..3....3..2..3..3..3..3....0..2..0..0..0..0....2..0..0..0..0..0

%e ..3..3..3..3..3..3....3..3..3..3..2..3....0..0..0..0..0..0....0..0..0..0..0..2

%e ..3..3..3..3..3..3....2..3..3..3..3..3....0..0..0..0..0..0....0..0..0..0..0..0

%e ..3..3..3..3..3..2....3..3..3..3..3..3....0..0..0..2..0..0....0..2..0..0..0..0

%e ..3..3..3..3..2..3....3..2..3..3..3..3....0..2..0..0..0..2....0..0..0..0..0..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified March 29 04:59 EDT 2024. Contains 371264 sequences. (Running on oeis4.)