A262483 Number of (n+3)X(2+3) 0..1 arrays with each row and column divisible by 13, read as a binary number with top and left being the most significant bits.

3, 5, 9, 23, 63, 171, 449, 1251, 3753, 10361, 29773, 87173, 260267, 772761, 2304365, 6903427, 20696375, 62044087, 185954533, 557590251, 1672770753, 5016014561, 15044598977, 45128057457, 135380730483, 406120387061, 1218323292537

Offset

1,1

Comments

Column 2 of A262488.

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
..0..0..0..0..0....0..0..0..0..0....1..1..0..1..0....0..0..0..0..0
..0..0..0..0..0....0..1..1..0..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..1..1..0..1....1..1..0..1..0....1..1..0..1..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....1..1..0..1..0
..0..0..0..0..0....0..1..1..0..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....1..1..0..1..0....0..0..0..0..0....1..1..0..1..0

Crossrefs

Cf. A262488.

Sequence in context: A146275 A089636 A241398 * A083366 A006722 A251413

Adjacent sequences: A262480 A262481 A262482 * A262484 A262485 A262486

Keyword

nonn

Author

R. H. Hardin, Sep 24 2015

Status

approved