A183317 Number of nX5 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it

13, 57, 377, 1975, 11385, 61755, 343035, 1872913, 10288475, 56225061, 307755285, 1681755047, 9194060283, 50235380141, 274514218163, 1499800424044, 8194423899045, 44768307376625, 244584423489933, 1336207363455509

Offset

1,1

Comments

Column 5 of A183322

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=a(n-1)+61*a(n-2)-29*a(n-3)-1491*a(n-4)+297*a(n-5)+19701*a(n-6)-1185*a(n-7)-159127*a(n-8)-819*a(n-9)+836109*a(n-10)+27171*a(n-11)-2951431*a(n-12)-125221*a(n-13)+7095801*a(n-14)+329665*a(n-15)-11617381*a(n-16)-586437*a(n-17)+12793417*a(n-18)+723297*a(n-19)-9246383*a(n-20)-590475*a(n-21)+4223841*a(n-22)+294743*a(n-23)-1155939*a(n-24)-81687*a(n-25)+173913*a(n-26)+10715*a(n-27)-12215*a(n-28)-423*a(n-29)+281*a(n-30)-a(n-31)-a(n-32)

Example

Some solutions for 5X5
..0..0..1..1..0....1..1..0..0..0....0..0..0..0..0....0..0..0..0..1
..0..0..1..1..1....1..1..0..0..0....0..0..1..1..1....0..0..0..1..1
..0..0..0..0..1....0..0..0..0..0....0..0..1..1..1....0..0..0..1..1
..0..1..1..0..0....0..0..0..1..1....0..1..1..0..1....1..1..0..0..1
..0..1..1..0..1....0..0..0..1..1....1..1..1..1..1....1..1..0..1..1

Crossrefs

Sequence in context: A147011 A147019 A230988 * A365749 A055833 A103220

Adjacent sequences: A183314 A183315 A183316 * A183318 A183319 A183320

Keyword

nonn

Author

R. H. Hardin Jan 03 2011

Status

approved