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 A258564 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum equal to the central column sum 4

%I

%S 11532,179776,179776,2826448,4884100,2826448,44622400,134652816,

%T 134652816,44622400,702129040,3749847696,6542200832,3749847696,

%U 702129040,11033401600,103717490704,321924603456,321924603456,103717490704

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum equal to the central column sum

%C Table starts

%C .........11532.........179776.........2826448.........44622400........702129040

%C ........179776........4884100.......134652816.......3749847696.....103717490704

%C .......2826448......134652816......6542200832.....321924603456...15675466093600

%C ......44622400.....3749847696....321924603456...28226268865600.2446055780403456

%C .....702129040...103717490704..15675466093600.2446055780403456

%C ...11033401600..2859893618884.760019986771600

%C ..173567878848.79025557095424

%C .2731694950656

%H R. H. Hardin, <a href="/A258564/b258564.txt">Table of n, a(n) for n = 1..39</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 36]

%e Some solutions for n=1 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jun 03 2015

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Last modified December 3 22:32 EST 2021. Contains 349468 sequences. (Running on oeis4.)