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 A240931 #41 Sep 08 2022 08:46:07
%S A240931 0,0,128,4374,49152,312500,1399680,4941258,14680064,38263752,90000000,
%T A240931 194871710,394149888,752982204,1370375552,2392031250,4026531840,
%U A240931 6565418768,10407740544,16089691302,24320000000,36021770820,52381515648,74906159834,105488842752,146484375000
%N A240931 a(n) = n^8 - n^7.
%C A240931 For n>1 number of 8-digit positive integers in base n.
%H A240931 Vincenzo Librandi, <a href="/A240931/b240931.txt">Table of n, a(n) for n = 0..1000</a>
%H A240931 <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 A240931 a(n) = n^7*(n-1) = n^8 - n^7.
%F A240931 a(n) = A001016(n) - A001015(n).
%F A240931 G.f.: -2*x^2*(x^6+183*x^5+2682*x^4+8422*x^3+7197*x^2+1611*x+64) / (x-1)^9. - _Colin Barker_, Aug 08 2014
%F A240931 Sum_{n>=2} 1/a(n) = 7 - Sum_{k=2..7} zeta(k). - _Amiram Eldar_, Jul 05 2020
%p A240931 A240931:=n->n^8-n^7: seq(A240931(n), n=0..30); # _Wesley Ivan Hurt_, Aug 09 2014
%t A240931 Table[n^8 - n^7, {n, 0, 30}] (* _Wesley Ivan Hurt_, Aug 09 2014 *)
%t A240931 LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{0,0,128,4374,49152,312500,1399680,4941258,14680064},30] (* _Harvey P. Dale_, Apr 29 2016 *)
%o A240931 (PARI) vector(100, n, (n-1)^8 - (n-1)^7) \\ _Derek Orr_, Aug 03 2014
%o A240931 (PARI) concat([0,0], Vec(-2*x^2*(x^6+183*x^5+2682*x^4+8422*x^3+7197*x^2+1611*x+64) / (x-1)^9 + O(x^100))) \\ _Colin Barker_, Aug 08 2014
%o A240931 (Magma) [n^8-n^7 : n in [0..30]]; // _Wesley Ivan Hurt_, Aug 09 2014
%Y A240931 Cf. A001015, A001016.
%Y A240931 Cf. A002378, A045991, A085537, A085538, A085539, A240930, A240932, A240933.
%K A240931 nonn,easy
%O A240931 0,3
%A A240931 _Martin Renner_, Aug 03 2014