A262269 Number of (n+2)X(3+2) 0..1 arrays with each row and column divisible by 5, read as a binary number with top and left being the most significant bits.

7, 49, 149, 585, 3639, 23977, 129481, 762529, 4977703, 33121201, 212297621, 1392648681, 9394847463, 63791220457, 431043859993, 2933293326289, 20157021722983, 138871827073201, 957160775849621, 6614231267870601

Offset

1,1

Comments

Column 3 of A262274.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +2438*a(n-4) -17066*a(n-5) -2193828*a(n-8) +15356796*a(n-9) +1012143986*a(n-12) -7085007902*a(n-13) -274571219965*a(n-16) +1921998539755*a(n-17) +46824231026412*a(n-20) -327769617184884*a(n-21) -5180403909036816*a(n-24) +36262827363257712*a(n-25) +375348133713055716*a(n-28) -2627436935991390012*a(n-29) -17669998041050990187*a(n-32) +123689986287356931309*a(n-33) +526338150774349790590*a(n-36) -3684367055420448534130*a(n-37) -9412502562578384921036*a(n-40) +65887517938048694447252*a(n-41) +91478334812736629058378*a(n-44) -640348343689156403408646*a(n-45) -389202483948737967210263*a(n-48) +2724417387641165770471841*a(n-49) +306627613331565950494576*a(n-52) -2146393293320961653462032*a(n-53)

Example

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

Crossrefs

Cf. A262274.

Sequence in context: A044145 A152777 A003530 * A163827 A206989 A221962

Adjacent sequences: A262266 A262267 A262268 * A262270 A262271 A262272

Keyword

nonn

Author

R. H. Hardin, Sep 17 2015

Status

approved