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 A179099 #19 Aug 03 2022 07:35:55
%S A179099 0,1,36,414,2598,11385,39303,114387,292743,677556,1446445,2889315,
%T A179099 5459103,9838062,17022474,28428930,46025562,72491859,111410946,
%U A179099 167498452,246872340,357368319,508905705,713908845,987789465,1349495550
%N A179099 Rectified 8-simplex numbers: the coefficient of x^(2n-2) in (1+x+x^2+...+x^(n-1))^9.
%H A179099 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A179099 Empirical G.f.: x*(1+27*x+126*x^2+84*x^3+9*x^4)/(1-x)^9. - _Colin Barker_, Jun 20 2012
%F A179099 This conjecture is true, see A179095 for proof.
%t A179099 f[n_] := CoefficientList[ Series[ Sum[ x^k, {k, 0, n - 1}]^9, {x, 0, 2 n + 3}], x][[2 n - 1]]; Array[f, 33] (* _Robert G. Wilson v_, Jul 30 2010 *)
%o A179099 (PARI) a(n) = polcoeff(((x^n-1)/(x-1))^9, 2*n-2); \\ _Michel Marcus_, Feb 17 2016
%Y A179099 Cf. A179095, A179096, A179097, A179098.
%K A179099 nonn,easy
%O A179099 0,3
%A A179099 _Michael A. Jackson_, Jun 29 2010
%E A179099 More terms from _Robert G. Wilson v_, Jul 30 2010