cp's OEIS Frontend

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.

A165311 a(0)=1, a(1)=4, a(n)=9*a(n-1)-16*a(n-2) for n>1.

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%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