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 A100430 #12 Apr 25 2024 09:22:05
%S A100430 1,30,175,588,1485,3146,5915,10200,16473,25270,37191,52900,73125,
%T A100430 98658,130355,169136,215985,271950,338143,415740,505981,610170,729675,
%U A100430 865928,1020425,1194726,1390455,1609300,1853013,2123410,2422371,2751840
%N A100430 Bisection of A002417.
%H A100430 G. C. Greubel, <a href="/A100430/b100430.txt">Table of n, a(n) for n = 0..1000</a>
%H A100430 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A100430 a(n) = (8*n^4 +28*n^3 +34*n^2 +17*n+3)/3. - _Ralf Stephan_, May 15 2007
%F A100430 From _G. C. Greubel_, Apr 09 2023: (Start)
%F A100430 a(n) = (2*n+1)*binomial(2*n+3, 3).
%F A100430 a(n) = (2*n+1)*A000447(n+1).
%F A100430 G.f.: (1 + 25*x + 35*x^2 + 3*x^3)/(1-x)^5.
%F A100430 E.g.f.: (1/3)*(3 + 87*x + 174*x^2 + 76*x^3 + 8*x^4)*exp(x). (End)
%t A100430 Table[(2*n+1)*Binomial[2*n+3,3], {n,0,50}] (* _G. C. Greubel_, Apr 09 2023 *)
%o A100430 (Magma) [(2*n+1)*Binomial(2*n+3,3): n in [0..50]]; // _G. C. Greubel_, Apr 09 2023
%o A100430 (SageMath) [(2*n+1)*binomial(2*n+3,3) for n in range(51)] # _G. C. Greubel_, Apr 09 2023
%Y A100430 Cf. A000447, A002417, A100431.
%K A100430 nonn,easy
%O A100430 0,2
%A A100430 _N. J. A. Sloane_, Nov 20 2004
%E A100430 More terms from _Hugo Pfoertner_, Nov 26 2004