A262467 Number of (n+1)X(3+1) 0..1 arrays with each row divisible by 3 and each column divisible by 5, read as a binary number with top and left being the most significant bits.

1, 6, 36, 115, 469, 2622, 15732, 85723, 494605, 2942190, 17653140, 105022051, 628157125, 3765830046, 22594980276, 135471987115, 812624087485, 4875367337166, 29252204022996, 175502212001971, 1052990612251381

Offset

1,2

Comments

Column 3 of A262472.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -49*a(n-2) +179*a(n-3) -382*a(n-4) -478*a(n-5) +4682*a(n-6) -20542*a(n-7) +61367*a(n-8) -104077*a(n-9) +152183*a(n-10) -136453*a(n-11) -60984*a(n-12) +104544*a(n-13) -156816*a(n-14) +156816*a(n-15)

Example

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

Crossrefs

Cf. A262472.

Sequence in context: A207427 A207712 A207718 * A225262 A253652 A375608

Adjacent sequences: A262464 A262465 A262466 * A262468 A262469 A262470

Keyword

nonn

Author

R. H. Hardin, Sep 23 2015

Status

approved