A184471 1/6 the number of (n+2)X5 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last

3705, 7085, 14119, 30681, 86575, 249953, 747735, 2652785, 9085231, 30632409, 117322423, 424882145, 1490248815, 5857018745, 21643873159, 77054809761, 305865631855, 1139590008233, 4082296717095, 16272461979425, 60842958745471

Offset

1,1

Comments

Column 3 of A184477

Links

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

Formula

Empirical: a(n)=6*a(n-1)-11*a(n-2)+129*a(n-3)-738*a(n-4)+1353*a(n-5)-6290*a(n-6)+33312*a(n-7)-61072*a(n-8)+155640*a(n-9)-733968*a(n-10)+1345608*a(n-11)-2177568*a(n-12)+8661600*a(n-13)-15879600*a(n-14)+18027792*a(n-15)-56197152*a(n-16)+103028112*a(n-17)-89177760*a(n-18)+197883648*a(n-19)-362786688*a(n-20)+256296960*a(n-21)-350479872*a(n-22)+642546432*a(n-23)-390790656*a(n-24)+241864704*a(n-25)-443418624*a(n-26)+241864704*a(n-27)

Example

Some solutions with a(1,1)=0 for 4X5
..0..1..2..0..1....0..0..0..2..0....0..1..2..0..2....0..1..1..0..1
..0..0..0..0..0....1..1..1..1..0....2..2..2..2..1....0..0..1..1..0
..1..1..1..1..1....2..0..1..0..1....1..1..1..1..1....1..0..2..0..0
..0..1..2..0..1....0..0..0..2..0....0..1..2..0..2....0..1..1..0..1

Crossrefs

Sequence in context: A204522 A294088 A252694 * A249655 A234186 A179623

Adjacent sequences: A184468 A184469 A184470 * A184472 A184473 A184474

Keyword

nonn

Author

R. H. Hardin Jan 15 2011

Status

approved