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A263117 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column not divisible by 7, read as a binary number with top and left being the most significant bits. 5

%I #4 Oct 09 2015 21:55:47

%S 102,690,690,4614,12295,4614,28626,186793,186793,28626,173010,2451774,

%T 6131873,2451774,173010,1049016,32967539,165679122,165679122,32967539,

%U 1049016,6331494,436704585,4679372053,8973167514,4679372053,436704585

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column not divisible by 7, read as a binary number with top and left being the most significant bits.

%C Table starts

%C ........102..........690...........4614............28626...........173010

%C ........690........12295.........186793..........2451774.........32967539

%C .......4614.......186793........6131873........165679122.......4679372053

%C ......28626......2451774......165679122.......8973167514.....510985828470

%C .....173010.....32967539.....4679372053.....510985828470...59375688090683

%C ....1049016....436704585...129402530117...28342984553670.6681095224794601

%C ....6331494...5681806458..3494107918878.1530508039933938

%C ...37989042..74169569127.94864200490265

%C ..228197310.966450565505

%C .1370694210

%H R. H. Hardin, <a href="/A263117/b263117.txt">Table of n, a(n) for n = 1..59</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 16]

%e Some solutions for n=2 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Oct 09 2015

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Last modified May 12 13:08 EDT 2024. Contains 372480 sequences. (Running on oeis4.)