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 A049220 #14 Jul 02 2023 14:26:59 %S A049220 0,0,1,3,9,28,89,285,914,2931,9397,30124,96565,309545,992266,3180775, %T A049220 10196193,32684604,104772769,335856389,1076610978,3451151243, %U A049220 11062904925,35462909836,113678819677,364405349233,1168126647770 %N A049220 Number of horizontally convex n-ominoes in which the top row has at least 2 squares and the rightmost square in the top row is above the leftmost square in the second row. %H A049220 Dean Hickerson, <a href="http://www.cs.uwaterloo.ca/journals/JIS/HICK2/chcp.html">Counting Horizontally Convex Polyominoes</a>, J. Integer Sequences, Vol. 2 (1999), #99.1.8. %H A049220 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5, -7, 4). %F A049220 G.f.: x^3 (1-x)^2/(1-5x+7x^2-4x^3). %F A049220 a(n) = 5a(n-1) - 7a(n-2) + 4a(n-3) for n >= 6. %F A049220 a(n) = a(n-1) + A001169(n-2) for n >= 3. %t A049220 a[ n_ ] := a[ n ]=If[ n<6, {0, 0, 1, 3, 9}[ [ n ] ], 5a[ n-1 ]-7a[ n-2 ]+4a[ n-3 ] ] %Y A049220 Cf. A001169. %K A049220 nonn,easy %O A049220 1,4 %A A049220 _Dean Hickerson_, Aug 10 1999