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 A227273 #26 Oct 03 2017 02:14:08 %S A227273 1,70,3321,135450,5143341,188253030,6755426161,239789821810, %T A227273 8459827013781,297439462109790,10437310023978201,365844613023404970, %U A227273 12815338551339471421,448752409725746315350,15710645734163363925441,549958830422813492568930,19250283677858902044252261 %N A227273 Expansion of 1/((1-x)*(1-4*x)*(1-10*x)*(1-20*x)*(1-35*x)). %C A227273 Note that the denominator has 5 tetrahedral numbers: 1, 4, 10, 20, 35. %H A227273 G. C. Greubel, <a href="/A227273/b227273.txt">Table of n, a(n) for n = 0..645</a> %H A227273 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (70,-1579,13510,-40000,28000). %F A227273 a(n) = (2736*35^(n+4) - 23715*20^(n+4) + 80104*10^(n+4) - 121125*4^(n+4) + 62000)/1081404000. %t A227273 CoefficientList[Series[1/((1 - x) (1 - 4 x) (1 - 10 x) (1 - 20 x) (1 - 35 x)), {x, 0, 50}], x] (* _G. C. Greubel_, Oct 02 2017 *) %o A227273 (PARI) Vec(1/((1-x)*(1-4*x)*(1-10*x)*(1-20*x)*(1-35*x)) + O(x^50)) \\ _Michel Marcus_, May 23 2014 %Y A227273 Column k=4 of A080249. %Y A227273 Cf. A080250, A002450, A000292. %K A227273 nonn,easy %O A227273 0,2 %A A227273 _Yahia Kahloune_, Jul 04 2013 %E A227273 Typo in a(7) fixed by _Colin Barker_, May 23 2014