A263300 Number of (n+3)X(2+3) 0..1 arrays with each row divisible by 13 and column not divisible by 13, read as a binary number with top and left being the most significant bits.

42, 156, 522, 1604, 4866, 14776, 45046, 136248, 408744, 1235360, 3719846, 11182556, 33561550, 100772348, 302469454, 907514652, 2722696390, 8168583528, 24507705554, 73526125728, 220578377184, 661760369600, 1985318969554

Offset

1,1

Comments

Column 2 of A263303.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) -a(n-4) +3*a(n-5) -a(n-6) +3*a(n-7) -a(n-8) +3*a(n-9) -a(n-10) +3*a(n-11) +2811*a(n-12) -8433*a(n-13) +2811*a(n-14) -8433*a(n-15) +2811*a(n-16) -8433*a(n-17) +2811*a(n-18) -8433*a(n-19) +2811*a(n-20) -8433*a(n-21) +2811*a(n-22) -8433*a(n-23) -219911*a(n-24) +659733*a(n-25) -219911*a(n-26) +659733*a(n-27) -219911*a(n-28) +659733*a(n-29) -219911*a(n-30) +659733*a(n-31) -219911*a(n-32) +659733*a(n-33) -219911*a(n-34) +659733*a(n-35) +3908061*a(n-36) -11724183*a(n-37) +3908061*a(n-38) -11724183*a(n-39) +3908061*a(n-40) -11724183*a(n-41) +3908061*a(n-42) -11724183*a(n-43) +3908061*a(n-44) -11724183*a(n-45) +3908061*a(n-46) -11724183*a(n-47)

Example

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

Crossrefs

Cf. A263303.

Sequence in context: A193571 A326384 A263285 * A299889 A092228 A159226

Adjacent sequences: A263297 A263298 A263299 * A263301 A263302 A263303

Keyword

nonn

Author

R. H. Hardin, Oct 13 2015

Status

approved