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 A100172 #18 Sep 18 2023 13:22:29 %S A100172 1,32,150,412,875,1596,2632,4040,5877,8200,11066,14532,18655,23492, %T A100172 29100,35536,42857,51120,60382,70700,82131,94732,108560,123672,140125, %U A100172 157976,177282,198100,220487,244500,270196,297632 %N A100172 Structured triakis icosahedral numbers (vertex structure 4). %H A100172 Vincenzo Librandi, <a href="/A100172/b100172.txt">Table of n, a(n) for n = 1..10000</a> %H A100172 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A100172 a(n) = (1/6)*(57*n^3 - 81*n^2 + 30*n). %F A100172 G.f.: x*(1 + 28*x + 28*x^2)/(1-x)^4. [_Colin Barker_, May 29 2012] %t A100172 LinearRecurrence[{4,-6,4,-1},{1,32,150,412},50] (* _Harvey P. Dale_, Sep 18 2023 *) %o A100172 (Magma) [(1/6)*(57*n^3-81*n^2+30*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 27 2011 %Y A100172 Cf. A100164 = alternate vertex; A100145 for more on structured numbers. %K A100172 easy,nonn %O A100172 1,2 %A A100172 James A. Record (james.record(AT)gmail.com), Nov 07 2004