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 A317981 #10 Dec 29 2024 13:00:09
%S A317981 125,9028,110961,684176,2871325,9402660,25872833,62572096,136972701,
%T A317981 276971300,524988145,943023888,1618774781,2672907076,4267591425,
%U A317981 6616398080,9995653693,14757360516,21343778801,30303773200,42311023965,58184203748,78909220801
%N A317981 Expansion of x*(125 + 8028*x + 42237*x^2 + 42272*x^3 + 8007*x^4 + 132*x^5 - x^6) / (1 - x)^8.
%C A317981 Seems to be the negative of the first column of A316387.
%H A317981 Colin Barker, <a href="/A317981/b317981.txt">Table of n, a(n) for n = 1..1000</a>
%H A317981 <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 A317981 G.f.: x*(125 + 8028*x + 42237*x^2 + 42272*x^3 + 8007*x^4 + 132*x^5 - x^6) / (1 - x)^8.
%F A317981 a(n) = 20*n^7 + 70*n^6 + 70*n^5 - 28*n^3 - 7*n^2.
%F A317981 a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>8.
%t A317981 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{125,9028,110961,684176,2871325,9402660,25872833,62572096},30] (* _Harvey P. Dale_, Dec 29 2024 *)
%o A317981 (PARI) Vec(x*(125 + 8028*x + 42237*x^2 + 42272*x^3 + 8007*x^4 + 132*x^5 - x^6) / (1 - x)^8 + O(x^40))
%o A317981 (PARI) a(n) = 20*n^7 + 70*n^6 + 70*n^5 - 28*n^3 - 7*n^2
%Y A317981 Cf. A316387, A317982, A317983, A317984.
%K A317981 nonn,easy
%O A317981 1,1
%A A317981 _Colin Barker_, Aug 13 2018