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 A101098 #22 Sep 08 2022 08:45:16 %S A101098 1,30,180,570,1320,2550,4380,6930,10320,14670,20100,26730,34680,44070, %T A101098 55020,67650,82080,98430,116820,137370,160200,185430,213180,243570, %U A101098 276720,312750,351780,393930,439320,488070,540300,596130,655680,719070,786420,857850 %N A101098 a(1)=1; thereafter, a(n+1) = 20*n^3 + 10*n. %C A101098 Shells (nexus numbers) of shells of the fifth powers (A000584). %H A101098 G. C. Greubel, <a href="/A101098/b101098.txt">Table of n, a(n) for n = 1..5000</a> %H A101098 O. Bagdasar, <a href="http://www.np.ac.rs/downloads/publications/VOL6_Br_2/vol6br2-3.pdf">On some functions involving the lcm and gcd of integer tuples</a>, Scientific Publications of the State University of Novi Pazar, Appl. Maths. Inform. and Mech., Vol. 6, 2 (2014), 91--100. %H A101098 C. Rossiter, <a href="http://noticingnumbers.net/300SeriesCube.htm">Depictions, Explorations and Formulas of the Euler/Pascal Cube</a>. %H A101098 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A101098 From _R. J. Mathar_, Sep 02 2008: (Start) %F A101098 a(n) = A068236(n-2), n > 1. %F A101098 G.f.: x + 30*x^2*(1+x)^2/(1-x)^4. (End) %p A101098 a:=`if`(n=1,1,20*n^3+10*n): 1,seq(a(n),n=1..35); # _Muniru A Asiru_, Dec 02 2018 %t A101098 Table[If[n == 1, 1, 10*(n - 1)*(2*(n - 1)^2 + 1)], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Jun 19 2011 *)(* modified by _G. C. Greubel_, Dec 01 2018 *) %o A101098 (PARI) my(x='x+O('x^50)); Vec(x + 30*x^2*(1+x)^2/(1-x)^4) \\ _G. C. Greubel_, Dec 01 2018 %o A101098 (Magma) [n le 1 select 1 else 10*(n - 1)*(2*(n - 1)^2 + 1): n in [1..50]]; // _G. C. Greubel_, Dec 01 2018 %o A101098 (Sage) s=(x + 30*x^2*(1+x)^2/(1-x)^4).series(x, 50); s.coefficients(x, sparse=False) # _G. C. Greubel_, Dec 01 2018 %o A101098 (GAP) Concatenation([1],List([1..35],n->20*n^3+10*n)); # _Muniru A Asiru_, Dec 02 2018 %K A101098 easy,nonn %O A101098 1,2 %A A101098 Cecilia Rossiter (cecilia(AT)noticingnumbers.net), Dec 15 2004 %E A101098 Edited by _Ralf Stephan_, Dec 16 2004