A202793 Number of nX6 binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically

21, 2820, 182430, 10892633, 669872090, 41382940317, 2552520578945, 157398925950921, 9706685199080140, 598614098605286252, 36916537177815949777, 2276641091540314028026, 140400382336831018887599

Offset

1,1

Comments

Column 6 of A202795

Links

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

Formula

Empirical: a(n) = 59*a(n-1) -96*a(n-2) +15198*a(n-3) +44555*a(n-4) +546802*a(n-5) +2654703*a(n-6) -11605935*a(n-7) -50148646*a(n-8) -109619761*a(n-9) -489848269*a(n-10) +2807188309*a(n-11) +13538187787*a(n-12) -14006226585*a(n-13) -84978170899*a(n-14) +5293728878*a(n-15) +168471311892*a(n-16) +81639123840*a(n-17) +53515556371*a(n-18) -81576024670*a(n-19) -376950186859*a(n-20) -165736793100*a(n-21) -12429982950*a(n-22) +165840234156*a(n-23) +312039809784*a(n-24) +124310784240*a(n-25) +34336444320*a(n-26) -46415278368*a(n-27) -79007876928*a(n-28) -33286629888*a(n-29) -11428107264*a(n-30)

Example

Some solutions for n=2
..1..0..0..1..1..0....1..1..1..0..1..0....0..1..0..0..1..1....0..1..1..0..1..1
..0..1..0..0..1..0....0..0..0..0..1..0....0..1..0..0..0..0....0..0..1..0..1..0

Crossrefs

Sequence in context: A184367 A114934 A098375 * A095154 A220999 A231825

Adjacent sequences: A202790 A202791 A202792 * A202794 A202795 A202796

Keyword

nonn

Author

R. H. Hardin Dec 24 2011

Status

approved