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 A100186 #17 Sep 08 2022 08:45:15 %S A100186 1,16,67,176,365,656,1071,1632,2361,3280,4411,5776,7397,9296,11495, %T A100186 14016,16881,20112,23731,27760,32221,37136,42527,48416,54825,61776, %U A100186 69291,77392,86101,95440,105431,116096 %N A100186 Structured heptagonal anti-diamond numbers (vertex structure 7). %H A100186 Vincenzo Librandi, <a href="/A100186/b100186.txt">Table of n, a(n) for n = 1..10000</a> %H A100186 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A100186 a(n) = (1/6)*(22*n^3 - 24*n^2 + 8*n). %F A100186 G.f.: x*(1 + 12*x + 9*x^2)/(1-x)^4. - _Colin Barker_, Jan 19 2012 %F A100186 E.g.f.: (3*x +21*x^2 +11*x^3)*exp(x)/3. - _G. C. Greubel_, Nov 08 2018 %t A100186 Table[(22*n^3 - 24*n^2 + 8*n)/6, {n,1,40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 16, 67, 176}, 40] (* _G. C. Greubel_, Nov 08 2018 *) %o A100186 (Magma) [(1/6)*(22*n^3-24*n^2+8*n): n in [1..40]]; // _Vincenzo Librandi_, Aug 18 2011 %o A100186 (PARI) vector(40, n, (22*n^3 -24*n^2 +8*n)/6) \\ _G. C. Greubel_, Nov 08 2018 %Y A100186 Cf. A063521 = alternate vertex; A100188 = structured anti-diamonds; A100145 for more on structured numbers. %K A100186 nonn,easy %O A100186 1,2 %A A100186 James A. Record (james.record(AT)gmail.com), Nov 07 2004