cp's OEIS Frontend

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.

A100153 Structured truncated dodecahedral numbers.

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%I A100153 #24 Sep 08 2022 08:45:15
%S A100153 1,60,276,748,1575,2856,4690,7176,10413,14500,19536,25620,32851,41328,
%T A100153 51150,62416,75225,89676,105868,123900,143871,165880,190026,216408,
%U A100153 245125,276276,309960,346276,385323,427200,472006,519840
%N A100153 Structured truncated dodecahedral numbers.
%H A100153 Vincenzo Librandi, <a href="/A100153/b100153.txt">Table of n, a(n) for n = 1..5000</a>
%H A100153 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).
%F A100153 a(n) = (1/2)*n*(33*n^2 - 41*n + 10).
%F A100153 G.f.: x*(1 + 56*x + 42*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012
%F A100153 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(1)=1, a(2)=60, a(3)=276, a(4)=748. - _Harvey P. Dale_, Dec 09 2012
%F A100153 E.g.f.: x*(2 + 58*x + 33*x^2)*exp(x)/2. - _G. C. Greubel_, Oct 18 2018
%p A100153 A100153:=n->(n*(33*n^2-41*n+10))/2; seq(A100153(k), k=1..40); # _Wesley Ivan Hurt_, Oct 24 2013
%t A100153 Table[(n(33n^2-41n+10))/2,{n,40}] (* or *) LinearRecurrence[{4,-6,4,-1},{1,60,276,748},40] (* _Harvey P. Dale_, Dec 09 2012 *)
%o A100153 (Magma) [(1/6)*(99*n^3-123*n^2+30*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 19 2011
%o A100153 (PARI) vector(50, n, n*(33*n^2 - 41*n + 10)/2) \\ _G. C. Greubel_, Oct 18 2018
%Y A100153 Cf. A100152, A100154 for adjacent structured Archimedean solids; A100145 for more on structured polyhedral numbers.
%K A100153 nonn,easy
%O A100153 1,2
%A A100153 James A. Record (james.record(AT)gmail.com), Nov 07 2004