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 A103177 #25 Mar 17 2024 12:55:33
%S A103177 3,7,18,50,145,429,1280,3832,11487,34451,103342,310014,930029,2790073,
%T A103177 8370204,25110596,75331771,225995295,677985866,2033957578,6101872713,
%U A103177 18305618117,54916854328,164750562960,494251688855,1482755066539
%N A103177 a(n) = (7*3^n + 2n + 5)/4.
%C A103177 A floretion-generated sequence relating sequences A007051 and A047926. (a(n)) results from a force transform of the sequence of powers of 3.
%C A103177 Floretion Algebra Multiplication Program, FAMP Code: 4jesleftforseq[A*B] with A = - .25'i - .25i' - .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' - .25e and B = + 'i + .5j' + .5k' + .5'ij' + .5'ik', 1vesforseq[A*B](n) = 3^(n+1), ForType: 1A.
%H A103177 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5,-7,3).
%F A103177 a(n) = 2*A007051(n) + A047926(n).
%F A103177 a(n) = 5*a(n-1)-7*a(n-2)+3*a(n-3). G.f.: (3-2*x)*(1-2*x)/((1-x)^2*(1-3*x)). [_Colin Barker_, Aug 28 2012]
%t A103177 Table[(7*3^n+2*n+5)/4,{n,0,25}] (* _Harvey P. Dale_, Feb 23 2011 *)
%Y A103177 Cf. A007051, A047926.
%K A103177 nonn,easy
%O A103177 0,1
%A A103177 _Creighton Dement_, Mar 17 2005
%E A103177 More terms from _Harvey P. Dale_, Feb 23 2011