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.

A165229 a(n) = 12*a(n-1) - 6*a(n-2), with a(0)=1, a(1)=6.

This page as a plain text file.
%I A165229 #20 Mar 19 2024 03:27:51
%S A165229 1,6,66,756,8676,99576,1142856,13116816,150544656,1727834976,
%T A165229 19830751776,227602011456,2612239626816,29981263453056,
%U A165229 344101723675776,3949333103390976,45327386898637056,520232644163298816,5970827408567763456,68528533037833368576,786517432002593842176
%N A165229 a(n) = 12*a(n-1) - 6*a(n-2), with a(0)=1, a(1)=6.
%H A165229 Andrew Howroyd, <a href="/A165229/b165229.txt">Table of n, a(n) for n = 0..500</a>
%H A165229 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-6).
%F A165229 G.f.: (1 - 6*x)/(1 - 12*x + 6*x^2).
%t A165229 LinearRecurrence[{12,-6},{1,6},25] (* _Paolo Xausa_, Jan 04 2024 *)
%o A165229 (PARI) Vec((1 - 6*x)/(1 - 12*x + 6*x^2) + O(x^25)) \\ _Andrew Howroyd_, Apr 13 2021
%K A165229 nonn,easy
%O A165229 0,2
%A A165229 _Philippe Deléham_, Sep 09 2009
%E A165229 Terms a(11) and beyond from _Andrew Howroyd_, Apr 13 2021