A263124 T(n,k)=Number of (n+3)X(k+3) 0..1 arrays with each row divisible by 15 and column not divisible by 15, read as a binary number with top and left being the most significant bits.

14, 36, 29, 168, 148, 59, 912, 1664, 522, 119, 52446, 28048, 10356, 1708, 238, 502800, 887805, 316392, 56288, 5124, 477, 5950176, 21881010, 17782827, 3049840, 238104, 15640, 955, 79674864, 583371100, 881938092, 344322375, 16751376, 1294448, 47602

Offset

1,1

Comments

Table starts

...14.....36......168........912........52446........502800.......5950176

...29....148.....1664......28048.......887805......21881010.....583371100

...59....522....10356.....316392.....17782827.....881938092...47672389112

..119...1708....56288....3049840....344322375...33563774112.3600054345088

..238...5124...238104...16751376...6946980030.1213776549696

..477..15640..1294448..216762400.113558538589

..955..47602..6844676.2168966344

.1911.144236.35274768

.3822.432708

.7645

Links

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

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-4) -2*a(n-5)

k=2: [order 46]

Example

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

Crossrefs

Sequence in context: A203803 A115664 A182753 * A024814 A340460 A268319

Adjacent sequences: A263121 A263122 A263123 * A263125 A263126 A263127

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 10 2015

Status

approved