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 A017333 #31 Jul 08 2025 06:03:54
%S A017333 3125,759375,9765625,52521875,184528125,503284375,1160290625,
%T A017333 2373046875,4437053125,7737809375,12762815625,20113571875,30517578125,
%U A017333 44840334375,64097340625,89466096875,122298103125,164130859375,216699865625,281950621875,362050628125,459401384375
%N A017333 a(n) = (10*n + 5)^5.
%H A017333 Vincenzo Librandi, <a href="/A017333/b017333.txt">Table of n, a(n) for n = 0..10000</a>
%H A017333 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A017333 G.f.: 3125*(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6. - _Colin Barker_, Nov 14 2012
%F A017333 From _Amiram Eldar_, Apr 18 2023: (Start)
%F A017333 a(n) = A017329(n)^5.
%F A017333 a(n) = 5^5 * A016757(n).
%F A017333 Sum_{n>=0} 1/a(n) = 31*zeta(5)/100000.
%F A017333 Sum_{n>=0} (-1)^n/a(n) = Pi^5/960000. (End)
%t A017333 (10*Range[0,20]+5)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{3125,759375,9765625,52521875,184528125,503284375},20] (* _Harvey P. Dale_, May 15 2018 *)
%o A017333 (Magma) [(10*n+5)^5: n in [0..25]]; // _Vincenzo Librandi_, Aug 02 2011
%Y A017333 Cf. A013663, A016757, A017329.
%Y A017333 Cf. A272914 (first comment). [_Bruno Berselli_, May 26 2016]
%K A017333 nonn,easy
%O A017333 0,1
%A A017333 _N. J. A. Sloane_