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 A064305 #14 Jul 26 2022 10:08:31
%S A064305 1,1430,95235,1338790,9137549,41260086,142648495,409186310,1022586105,
%T A064305 2298558934,4750427771,9170347110,16730290885,29104970870,48618847719,
%U A064305 78419396806,122678791025,186826162710
%N A064305 Ninth diagonal of triangle A064094.
%H A064305 Vincenzo Librandi, <a href="/A064305/b064305.txt">Table of n, a(n) for n = 0..1000</a>
%H A064305 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A064305 a(n) = 1 + 7*n + 27*n^2 + 75*n^3 + 165*n^4 + 297*n^5 + 429*n^6 + 429*n^7, compare to row n = 7 of Catalan triangle A009766.
%F A064305 G.f.: (1 + 1422*x + 83823*x^2 + 616894*x^3 + 1013799*x^4 + 412698*x^5 + 33337*x^6 + 186*x^7)/(1 - x)^8.
%F A064305 E.g.f.: exp(x)*(1 + 1429*x + 46188*x^2 + 176229*x^3 + 181170*x^4 + 66792*x^5 + 9438*x^6 + 429*x^7). - _Stefano Spezia_, Jul 24 2022
%t A064305 CoefficientList[Series[(1 + 1422 x + 83823 x^2 + 616894 x^3 + 1013799 x^4 + 412698 x^5 + 33337 x^6 + 186 x^7)/(1 - x)^8, {x, 0, 40}], x] (* _Vincenzo Librandi_, Apr 15 2014 *)
%Y A064305 Cf. A009766, A064094, A064304 (eighth diagonal).
%K A064305 nonn,easy
%O A064305 0,2
%A A064305 _Wolfdieter Lang_, Sep 13 2001