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 A100151 #19 Aug 06 2025 08:40:33
%S A100151 1,60,286,788,1675,3056,5040,7736,11253,15700,21186,27820,35711,44968,
%T A100151 55700,68016,82025,97836,115558,135300,157171,181280,207736,236648,
%U A100151 268125,302276,339210,379036,421863,467800,516956,569440,625361,684828,747950,814836,885595
%N A100151 Structured snub dodecahedral numbers.
%H A100151 Vincenzo Librandi, <a href="/A100151/b100151.txt">Table of n, a(n) for n = 1..5000</a>
%H A100151 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A100151 a(n) = (1/6)*n*(109*n^2 - 153*n + 50).
%F A100151 G.f.: x*(1 + 56*x + 52*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012
%F A100151 From _Elmo R. Oliveira_, Aug 05 2025: (Start)
%F A100151 E.g.f.: exp(x)*x*(109*x^2 + 174*x + 6)/6.
%F A100151 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 4. (End)
%t A100151 LinearRecurrence[{4, -6, 4, -1}, {1, 60, 286, 788}, 50] (* _Paolo Xausa_, Aug 06 2025 *)
%o A100151 (Magma) [(1/6)*(109*n^3-153*n^2+50*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 19 2011
%Y A100151 Cf. A100150, A100152 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
%K A100151 easy,nonn
%O A100151 1,2
%A A100151 James A. Record (james.record(AT)gmail.com), Nov 07 2004