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 A276042 #30 May 08 2017 00:16:35 %S A276042 1,4,16,62,230,812,2728,8752,26944,80000,230144,644096,1759744, %T A276042 4707328,12359680,31920128,81231872,204013568,506331136,1243217920, %U A276042 3022913536,7285243904,17415274496,41321234432,97370767360,227993976832,530713673728 %N A276042 Exponential convolution of central polygonal numbers (A000124) with themselves. %H A276042 M. Bernstein and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.CO/0205301">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72. Erratum 320 (2000), 210. [Link to arXiv version] %H A276042 M. Bernstein and N. J. A. Sloane, <a href="/A003633/a003633_1.pdf">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures] %H A276042 <a href="/index/Ce#CENTRALCUBE">Index entries for sequences related to centered polygonal numbers</a> %H A276042 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (10,-40,80,-80,32) %F A276042 O.g.f.: (1 - 6*x + 16*x^2 - 18*x^3 + 10*x^4)/(1 - 2*x)^5. %F A276042 E.g.f.: (2 + 2*x + x^2)^2*exp(2*x)/4. %F A276042 a(n) = 10*a(n-1) - 40*a(n-2) + 80*a(n-3) - 80*a(n-4) + 32*a(n-5). %F A276042 a(n) = 2^(n - 6)*(n^4 + 2*n^3 + 19*n^2 + 42*n + 64). %t A276042 LinearRecurrence[{10, -40, 80, -80, 32}, {1, 4, 16, 62, 230}, 27] %t A276042 Table[2^(n - 6) (n^4 + 2 n^3 + 19 n^2 + 42 n + 64), {n, 0, 26}] %Y A276042 Cf. A000124, A007465. %K A276042 nonn,easy %O A276042 0,2 %A A276042 _Ilya Gutkovskiy_, Aug 27 2016