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 A241527 #29 Jun 06 2024 12:25:43 %S A241527 1,3,13,41,105,247,581,1437,3793,10571,30525,89905,267449,799359, %T A241527 2394229,7177829,21527457,64574995,193716077,581137593,1743400201, %U A241527 5230185863,15690540453,47071601581,141214782065,423644320347,1270932931741,3812798762177,11438396249433,34315188706831 %N A241527 a(n) = n^3 + (3^n+1)/2. %H A241527 Harvey P. Dale, <a href="/A241527/b241527.txt">Table of n, a(n) for n = 0..1000</a> %H A241527 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (7,-18,22,-13,3). %F A241527 a(n) = A000578(n) + A007051(n). %F A241527 G.f.: (x^4+18*x^3-10*x^2+4*x-1) / ((x-1)^4*(3*x-1)). - _Colin Barker_, Apr 25 2014 %t A241527 Table[n^3+(3^n+1)/2,{n,0,40}] (* or *) LinearRecurrence[{7,-18,22,-13,3},{1,3,13,41,105},40] (* _Harvey P. Dale_, Mar 01 2024 *) %o A241527 (Magma) [n^3 + (3^n+1)/2: n in [0..29]]; // _Juri-Stepan Gerasimov_, Apr 25 2014 %Y A241527 Cf. A000578, A007051. %K A241527 nonn,easy %O A241527 0,2 %A A241527 _Gerasimov Sergey_, Apr 24 2014