This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A226580 #18 Jan 16 2017 03:23:19 %S A226580 0,7,5,5,5,5,5,1,7,6,6,6,6,6,2,8,7,7,7,7,7,3,9,8,8,8,8,8,4,10,9,9,9,9, %T A226580 9,5,11,10,10,10,10,10,6,12,11,11,11,11,11,7,13,12,12,12,12,12,8,14, %U A226580 13,13,13,13,13,9,15,14,14,14,14,14,10,16,15,15,15 %N A226580 Smallest number of integer-sided squares needed to tile a 7 X n rectangle. %H A226580 Alois P. Heinz, <a href="/A226580/b226580.txt">Table of n, a(n) for n = 0..1000</a> %H A226580 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,1,-1) %F A226580 G.f.: x*(x^8-x^7-4*x^6-2*x+7)/(x^8-x^7-x+1). %F A226580 a(n) = 1 + a(n-7) for n>8. %e A226580 a(15) = 8: %e A226580 ._._._._._._._._._._._._._._._. %e A226580 | | | | %e A226580 | | | | %e A226580 | | | | %e A226580 | |_______|_______| %e A226580 | | | | | %e A226580 | | | |___| %e A226580 |_____________|_____|_____|_|_| %p A226580 a:= n-> `if`(n=1, 7, iquo(n, 7, 'r') +[0, 6, 5$5][r+1]): %p A226580 seq(a(n), n=0..100); %t A226580 CoefficientList[Series[x*(x^8 - x^7 - 4*x^6 - 2*x + 7)/(x^8 - x^7 - x + 1), {x, 0, 100}], x] (* _Wesley Ivan Hurt_, Jan 15 2017 *) %Y A226580 Row m=7 of A113881, A219158. %K A226580 nonn,easy %O A226580 0,2 %A A226580 _Alois P. Heinz_, Jun 12 2013