Search: id:A118015 Results 1-1 of 1 results found. %I A118015 %S A118015 0,0,0,1,3,5,7,9,12,16,20,24,28,33,39,45,51,57,64,72,80,88,96,105,115, %T A118015 125,135,145,156,168,180,192,204,217,231,245,259,273,288,304,320,336, %U A118015 352,369,387,405,423,441,460,480,500,520,540,561,583,605,627,649,672 %N A118015 [n^2/5]. %C A118015 It seems that for n>=5, a(n) = maximum number of non-overlapping 1x5 rectangles that can be packed into an n x n square. Rectangles can only be placed parallel to the sides of the square. Verified with http://lagrange.ime.usp.br/~lobato/packing/run/index.php [From Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Aug 03 2009] %F A118015 G.f.: x^3*(1+x)/((1+x+x^2+x^3+x^4)*(1-x)^3). [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 18 2008] %F A118015 a(n)=A008732(n-4)+A008732(n-3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 22 2008] %o A118015 (MAGMA) [ n^2 div 5: n in [0..58] ]; [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 18 2008] %Y A118015 Cf. A000290, A007590, A000212, A002620, A056827, A118013. %Y A118015 Sequence in context: A080751 A025218 A007078 this_sequence A122643 A096231 A100432 %Y A118015 Adjacent sequences: A118012 A118013 A118014 this_sequence A118016 A118017 A118018 %K A118015 nonn %O A118015 0,5 %A A118015 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 10 2006 Search completed in 0.001 seconds