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.

102, 690, 690, 4614, 12295, 4614, 28626, 186793, 186793, 28626, 173010, 2451774, 6131873, 2451774, 173010, 1049016, 32967539, 165679122, 165679122, 32967539, 1049016, 6331494, 436704585, 4679372053, 8973167514, 4679372053, 436704585

Offset

1,1

Comments

Table starts

........102..........690...........4614............28626...........173010

........690........12295.........186793..........2451774.........32967539

.......4614.......186793........6131873........165679122.......4679372053

......28626......2451774......165679122.......8973167514.....510985828470

.....173010.....32967539.....4679372053.....510985828470...59375688090683

....1049016....436704585...129402530117...28342984553670.6681095224794601

....6331494...5681806458..3494107918878.1530508039933938

...37989042..74169569127.94864200490265

..228197310.966450565505

.1370694210

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

Example

Some solutions for n=2 k=4
..0..0..1..0..0..1....0..0..1..0..0..0....0..1..0..1..0..0....0..1..1..1..1..1
..0..1..0..0..1..0....0..1..1..0..0..1....0..0..1..0..0..0....0..1..0..0..0..0
..0..0..1..0..0..0....0..1..0..0..1..0....0..0..1..0..1..1....0..0..0..1..0..1
..1..0..1..1..0..1....1..0..0..1..0..1....1..1..0..1..0..1....1..0..1..0..0..1

Crossrefs

Sequence in context: A206652 A158127 A231361 * A263113 A231454 A230704

Adjacent sequences: A263114 A263115 A263116 * A263118 A263119 A263120

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 09 2015

Status

approved