A262849 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.

6, 6, 13, 12, 34, 27, 318, 196, 132, 54, 900, 3181, 1336, 396, 109, 4536, 31050, 37635, 5184, 1264, 219, 34782, 352880, 771084, 420654, 31512, 3962, 438, 178926, 4679725, 17912392, 14762016, 3896365, 175820, 11886, 877, 1042284, 58693450, 481968171

Offset: 1

Author

R. H. Hardin, Oct 03 2015

Keywords

• nonn
• tabl

Comments

Table starts

....6......6.......12........318..........900..........4536.........34782

...13.....34......196.......3181........31050........352880.......4679725

...27....132.....1336......37635.......771084......17912392.....481968171

...54....396.....5184.....420654.....14762016.....661066920...35819485902

..109...1264....31512....3896365....290338650...26232879096.2864161217701

..219...3962...175820...39348387...5692555116.1007501698644

..438..11886...793812..417279054.108936025308

..877..35914..4140908.3999504445

.1755.108556.21744992

.3510.325668

Examples

			Some solutions for n=3 k=4
..0..1..1..1..0..0....0..0..0..1..1..1....0..0..1..1..1..0....0..0..0..0..0..0
..0..0..0..1..1..1....1..1..1..0..0..0....0..1..1..1..0..0....1..1..1..1..1..1
..0..0..1..1..1..0....0..1..0..1..0..1....1..1..0..0..0..1....1..0..0..0..1..1
..0..0..1..1..1..0....0..1..0..1..0..1....0..1..1..1..0..0....1..0..0..0..1..1
..1..1..1..1..1..1....0..1..0..1..0..1....1..1..1..0..0..0....1..0..0..0..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..70

Crossrefs

Column 1 is A033129(n+2).

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-3) -2*a(n-4)

k=2: [order 15]

k=3: [order 43]

k=4: [order 29]

Empirical for row n:

n=1: [linear recurrence of order 16]