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 A100150 #31 Aug 05 2025 13:35:25
%S A100150 1,24,107,288,605,1096,1799,2752,3993,5560,7491,9824,12597,15848,
%T A100150 19615,23936,28849,34392,40603,47520,55181,63624,72887,83008,94025,
%U A100150 105976,118899,132832,147813,163880,181071,199424,218977,239768,261835,285216,309949,336072
%N A100150 Structured snub cubic numbers.
%H A100150 Vincenzo Librandi, <a href="/A100150/b100150.txt">Table of n, a(n) for n = 1..5000</a>
%H A100150 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A100150 a(n) = (1/6)*(38*n^3 - 48*n^2 + 16*n).
%F A100150 G.f.: x*(1 + 20*x + 17*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012
%F A100150 From _Elmo R. Oliveira_, Aug 05 2025: (Start)
%F A100150 E.g.f.: exp(x)*x*(19*x^2 + 33*x + 3)/3.
%F A100150 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 4. (End)
%t A100150 LinearRecurrence[{4,-6,4,-1},{1,24,107,288},40] (* _Harvey P. Dale_, Sep 17 2020 *)
%o A100150 (PARI) a(n)=n*(38*n^2-48*n+16)/6 \\ _Charles R Greathouse IV_, Jul 18 2011
%o A100150 (Magma) [(1/6)*(38*n^3-48*n^2+16*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 19 2011
%Y A100150 Cf. A100149, A100151 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
%K A100150 nonn,easy
%O A100150 1,2
%A A100150 James A. Record (james.record(AT)gmail.com), Nov 07 2004
%E A100150 Deleted extra +16 in formula, corrected by _Craig Ferguson_, Jul 18 2011