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A252148 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7 9

%I

%S 1921,3026,3026,5090,2543,5090,8132,3073,3073,8132,14578,3797,5440,

%T 3797,14578,24855,5511,4416,4416,5511,24855,44707,7997,9443,5860,9443,

%U 7997,44707,79081,11573,8964,8391,8391,8964,11573,79081,140896,16734,21375

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7

%C Table starts

%C ...1921..3026..5090..8132..14578..24855..44707..79081.140896.248042..450225

%C ...3026..2543..3073..3797...5511...7997..11573..16734..25572..37796...57507

%C ...5090..3073..5440..4416...9443...8964..21375..18900..49770..41768..119013

%C ...8132..3797..4416..5860...8391..11662..17166..25025..36612..54416...82121

%C ..14578..5511..9443..8391..18757..16958..44234..36963.101771..83289..245182

%C ..24855..7997..8964.11662..16958..24112..34320..50514..77490.109924..171154

%C ..44707.11573.21375.17166..44234..34320.108750..78781.254289.178690..631331

%C ..79081.16734.18900.25025..36963..50514..78781.114221.179372.250389..400881

%C .140896.25572.49770.36612.101771..77490.254289.179372.618938.408148.1530647

%C .248042.37796.41768.54416..83289.109924.178690.250389.408148.567920..943581

%H R. H. Hardin, <a href="/A252148/b252148.txt">Table of n, a(n) for n = 1..448</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 96] for n>105

%F k=2: [order 53] for n>60

%F k=3: [order 30] for n>36

%F k=4: [order 24] for n>31

%F k=5: [order 30, same recurrence as k=3] for n>38

%F k=6: [order 24, same recurrence as k=4] for n>33

%F k=7: [order 30, same recurrence as k=3,5] for n>40

%e Some solutions for n=4 k=4

%e ..2..1..0..2..3..0....3..0..3..0..2..1....1..3..1..3..1..2....3..1..3..1..3..3

%e ..1..2..0..1..2..0....1..3..1..3..1..2....2..0..3..0..3..0....0..3..0..3..0..3

%e ..0..0..0..0..0..0....2..0..3..0..3..3....3..3..1..3..1..3....2..1..3..1..3..1

%e ..2..1..0..2..1..3....3..3..1..3..1..2....2..0..3..0..3..0....3..3..0..3..0..3

%e ..3..2..0..1..2..3....2..0..3..0..3..0....1..3..1..3..1..3....2..1..3..1..3..1

%e ..0..0..0..3..0..0....1..3..1..3..1..3....3..0..3..0..3..0....1..2..0..3..0..3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified December 6 10:57 EST 2021. Contains 349563 sequences. (Running on oeis4.)