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 A252053 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8 9

%I

%S 1552,2440,2440,2812,2454,2812,3494,2552,2552,3494,5192,3030,2674,

%T 3030,5192,7642,6136,4390,4390,6136,7642,10084,10324,10114,6562,10114,

%U 10324,10084,15096,14924,17166,16536,16536,17166,14924,15096,22090,28990,26840

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8

%C Table starts

%C ..1552..2440...2812...3494....5192....7642....10084.....15096.....22090

%C ..2440..2454...2552...3030....6136...10324....14924.....28990.....52526

%C ..2812..2552...2674...4390...10114...17166....26840.....60924....113000

%C ..3494..3030...4390...6562...16536...29180....45444....113456....205932

%C ..5192..6136..10114..16536...53346..112542...191804....603460...1370412

%C ..7642.10324..17166..29180..112542..233342...398502...1545586...3493324

%C .10084.14924..26840..45444..191804..398502...658902...2988638...6379018

%C .15096.28990..60924.113456..603460.1545586..2988638..16790430..48091358

%C .22090.52526.113000.205932.1370412.3493324..6379018..48091358.127185206

%C .33394.86904.193072.339128.2559304.6364926.11153632.100546914.249860090

%H R. H. Hardin, <a href="/A252053/b252053.txt">Table of n, a(n) for n = 1..576</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 59] for n>69

%F k=2: [order 47] for n>54

%F k=3: [order 46] for n>52

%F k=4: [order 45] for n>50

%F k=5: [order 62] for n>66

%F k=6: [order 71] for n>75

%F k=7: [order 69] for n>73

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 13 2014

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Last modified December 7 17:04 EST 2021. Contains 349581 sequences. (Running on oeis4.)