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 A317984 #9 Aug 18 2018 11:24:36 %S A317984 140,1260,5040,14000,31500,61740,109760,181440,283500,423500,609840, %T A317984 851760,1159340,1543500,2016000,2589440,3277260,4093740,5054000, %U A317984 6174000,7470540,8961260,10664640,12600000,14787500,17248140,20003760,23077040,26491500,30271500 %N A317984 Expansion of 140*x*(1 + 4*x + x^2) / (1 - x)^5. %C A317984 Seems to be the fourth column of A316387. %H A317984 Colin Barker, <a href="/A317984/b317984.txt">Table of n, a(n) for n = 1..1000</a> %H A317984 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A317984 G.f.: 140*x*(1 + 4*x + x^2) / (1 - x)^5. %F A317984 a(n) = 35*n^4 + 70*n^3 + 35*n^2. %F A317984 a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>5. %o A317984 (PARI) Vec(140*x*(1 + 4*x + x^2) / (1 - x)^5 + O(x^40)) %o A317984 (PARI) a(n) = 35*n^4 + 70*n^3 + 35*n^2 %Y A317984 Cf. A316387, A317981, A317982, A317983. %K A317984 nonn,easy %O A317984 1,1 %A A317984 _Colin Barker_, Aug 13 2018