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A209684 T(n,k) = Number of n X n 0..k arrays with every element equal to a diagonal or antidiagonal reflection, and new values 0 upwards introduced in row major order. 8

%I #8 Oct 30 2022 06:36:29

%S 1,1,8,1,14,96,1,15,608,4608,1,15,1243,246038,331776,1,15,1508,

%T 2143147,166075313,95551488,1,15,1549,6716352,6713848491,

%U 1008907523438,41278242816,1,15,1551,11315839,66825091608,336865786047147

%N T(n,k) = Number of n X n 0..k arrays with every element equal to a diagonal or antidiagonal reflection, and new values 0 upwards introduced in row major order.

%C Table starts

%C ......1.........1..........1...........1............1............1............1

%C ......8........14.........15..........15...........15...........15...........15

%C .....96.......608.......1243........1508.........1549.........1551.........1551

%C ...4608....246038....2143147.....6716352.....11315839.....13575355.....14164693

%C .331776.166075313.6713848491.66825091608.268997909000.584728215424.847881355388

%H R. H. Hardin, <a href="/A209684/b209684.txt">Table of n, a(n) for n = 1..988</a>

%e Some solutions for n=3, k=3

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

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

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

%Y Column 1 is A209586/2.

%K nonn,tabl

%O 1,3

%A _R. H. Hardin_, Mar 11 2012

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Last modified May 10 23:01 EDT 2024. Contains 372388 sequences. (Running on oeis4.)