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 A167710 #17 Jun 21 2016 02:41:48 %S A167710 1,5,13,35,79,185,397,875,1831,3905,8053,16835,34399,70985,144157, %T A167710 294875,596311,1212305,2444293,4947635,9954319,20085785,40348717, %U A167710 81228875,162989191,327572705,656739733,1318262435,2641307839,5296964585,10608278077,21259602875 %N A167710 a(n) = 10*2^n - 3*A083658(n+2). %C A167710 The sequence can be defined as the row sums of the triangle T(n,k) %C A167710 .1; %C A167710 .3,.2; %C A167710 .3,.6,.4; %C A167710 .9,.6,12,.8; %C A167710 .9,18,12,24,16; %C A167710 27,18,36,24,48,32; %C A167710 with left column A162436, diagonal the powers of 2, and the recurrence T(n+2,k) = 3*T(n,k). %H A167710 G. C. Greubel, <a href="/A167710/b167710.txt">Table of n, a(n) for n = 0..1000</a> %H A167710 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,3,-6). %F A167710 a(n+1) - 2*a(n) = A162436(n+2). %F A167710 a(n) = 2*a(n-1) + 3*a(n-2) - 6*a(n-3). %F A167710 G.f.: (1+3*x)/((2*x-1) * (3*x^2-1)). - _R. J. Mathar_, Feb 27 2010 %t A167710 LinearRecurrence[{2,3,-6},{1,5,13},40] (* _Harvey P. Dale_, Oct 03 2014 *) %K A167710 nonn,easy %O A167710 0,2 %A A167710 _Paul Curtz_, Nov 10 2009 %E A167710 Replaced cross-references by link to the index - _R. J. Mathar_, Feb 27 2010