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 A100171 #18 Sep 08 2022 08:45:15 %S A100171 1,14,60,160,335,606,994,1520,2205,3070,4136,5424,6955,8750,10830, %T A100171 13216,15929,18990,22420,26240,30471,35134,40250,45840,51925,58526, %U A100171 65664,73360,81635,90510,100006,110144 %N A100171 Structured triakis octahedral numbers (vertex structure 4). %H A100171 Vincenzo Librandi, <a href="/A100171/b100171.txt">Table of n, a(n) for n = 1..10000</a> %H A100171 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1). %F A100171 a(n)=(1/6)*(21*n^3-27*n^2+12*n). %F A100171 a(0)=1, a(1)=14, a(2)=60, a(3)=160, a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - _Harvey P. Dale_, Jun 28 2011 %F A100171 G.f.: (10*x^2+10*x+1)/(x-1)^4. - _Harvey P. Dale_, Jun 28 2011 %t A100171 Table[(21n^3-27n^2+12n)/6,{n,40}] (* or *) LinearRecurrence[ {4,-6,4,-1},{1,14,60,160},40] (* _Harvey P. Dale_, Jun 28 2011 *) %o A100171 (Magma) [(1/6)*(21*n^3-27*n^2+12*n): n in [1..40]]; // _Vincenzo Librandi_, Jul 27 2011 %Y A100171 Cf. A100157 = alternate vertex; A100145 for more on structured numbers. %K A100171 easy,nonn %O A100171 1,2 %A A100171 James A. Record (james.record(AT)gmail.com), Nov 07 2004