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 A100146 #17 Aug 05 2025 13:26:40 %S A100146 1,48,221,600,1265,2296,3773,5776,8385,11680,15741,20648,26481,33320, %T A100146 41245,50336,60673,72336,85405,99960,116081,133848,153341,174640, %U A100146 197825,222976,250173,279496,311025,344840,381021,419648,460801,504560,551005,600216,652273 %N A100146 Structured great rhombicubeoctahedral numbers. %H A100146 Vincenzo Librandi, <a href="/A100146/b100146.txt">Table of n, a(n) for n = 1..5000</a> %H A100146 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A100146 a(n) = (1/6)*(80*n^3 - 102*n^2 + 28*n). %F A100146 From _Jaume Oliver Lafont_, Sep 08 2009: (Start) %F A100146 a(n) = ((n-1)+1)*(5*(n-1)+3)*(8*(n-1)+1)/3. %F A100146 G.f.: x*(1 + 44*x + 35*x^2)/(1-x)^4. (End) %F A100146 From _Elmo R. Oliveira_, Aug 05 2025: (Start) %F A100146 E.g.f.: exp(x)*x*(40*x^2 + 69*x + 3)/3. %F A100146 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 4. (End) %o A100146 (Magma) [((n-1)+1)*(5*(n-1)+3)*(8*(n-1)+1)/3: n in [1..40]]; // _Vincenzo Librandi_, Jul 19 2011 %Y A100146 Cf. A100145, A100147 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers. %K A100146 easy,nonn %O A100146 1,2 %A A100146 James A. Record (james.record(AT)gmail.com), Nov 07 2004