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 A220130 #15 Sep 05 2021 19:18:20 %S A220130 1,1,8,4,16,2,13,1,16,4,9,1,21,1,8,5,16,1,13,1,17,4,8,1,21,2,8,4,16,1, %T A220130 14,1,16,4,8,2,21,1,8,4,17,1,13,1,16,5,8,1,21,1,9,4,16,1,13,2,16,4,8, %U A220130 1,22,1,8,4,16,2,13,1,16,4,9,1,21,1,8,5,16,1 %N A220130 Number of tilings of an n X 5 rectangle using integer-sided rectangular tiles of area n. %C A220130 1 followed by period 60: (1, 8, ..., 22) repeated; offset 0. %H A220130 Alois P. Heinz, <a href="/A220130/b220130.txt">Table of n, a(n) for n = 0..1000</a> %F A220130 G.f.: see Maple program. %e A220130 a(3) = 4, because there are 4 tilings of a 3 X 5 rectangle using integer-sided rectangular tiles of area 3: %e A220130 ._._._._._. ._____._._. ._._____._. ._._._____. %e A220130 | | | | | | |_____| | | | |_____| | | | |_____| %e A220130 | | | | | | |_____| | | | |_____| | | | |_____| %e A220130 |_|_|_|_|_| |_____|_|_| |_|_____|_| |_|_|_____| %p A220130 gf:= -(21*x^12 +22*x^11 +51*x^10 +56*x^9 +80*x^8 +65*x^7 +72*x^6 +45*x^5 +40*x^4 +16*x^3 +11*x^2 +2*x +1) / (x^12 +x^11 +2*x^10 +2*x^9 +2*x^8 +x^7 -x^5 -2*x^4 -2*x^3 -2*x^2 -x -1): %p A220130 a:= n-> coeff(series(gf, x, n+1), x, n): %p A220130 seq(a(n), n=0..100); %Y A220130 Row n=5 of A220122. %K A220130 nonn,easy %O A220130 0,3 %A A220130 _Alois P. Heinz_, Dec 06 2012