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 A165311 #9 Jul 14 2015 09:44:04 %S A165311 1,4,20,116,724,4660,30356,198644,1302100,8540596,56031764,367636340, %T A165311 2412218836,15827788084,103854591380,681446713076,4471346955604, %U A165311 29338975191220,192509225431316,1263159425822324,8288287225499860 %N A165311 a(0)=1, a(1)=4, a(n)=9*a(n-1)-16*a(n-2) for n>1. %C A165311 a(n)/a(n-1) tends to (9+sqrt(17))/2 = 6.56155281... %H A165311 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (9,-16). %F A165311 G.f.: (1-5x)/(1-9x+16x^2). a(n)=Sum_{k, 0<=k<=n}A165253(n,k)*4^(n-k). %F A165311 a(n) = ((17-sqrt(17))*(9+sqrt(17))^n+(17+sqrt(17))*(9-sqrt(17))^n )/(34*2^n). [From _Klaus Brockhaus_, Sep 26 2009] %t A165311 LinearRecurrence[{9,-16},{1,4},30] (* _Harvey P. Dale_, Feb 19 2015 *) %K A165311 nonn %O A165311 0,2 %A A165311 _Philippe Deléham_, Sep 14 2009