cp's OEIS Frontend

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.

A034517 Sum of n-th powers of divisors of 10.

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%I A034517 #38 Sep 08 2022 08:44:51
%S A034517 4,18,130,1134,10642,103158,1015690,10078254,100390882,1001953638,
%T A034517 10009766650,100048830174,1000244144722,10001220711318,
%U A034517 100006103532010,1000030517610894,10000152587956162,100000762939584198,1000003814697527770,10000019073486852414
%N A034517 Sum of n-th powers of divisors of 10.
%H A034517 T. D. Noe, <a href="/A034517/b034517.txt">Table of n, a(n) for n=0..200</a>
%H A034517 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (18,-97,180,-100).
%F A034517 G.f.: -2*(90*x^3-97*x^2+27*x-2) / ((x-1)*(2*x-1)*(5*x-1)*(10*x-1)). - _Colin Barker_, Apr 20 2014
%t A034517 With[{dt = Divisors[10]}, Table[Total[dt^n], {n, 0, 20}]] (* _Harvey P. Dale_, Feb 02 2011 *)
%t A034517 Total[#^Range[0, 20]&/@Divisors[10]] (* _Vincenzo Librandi_, Apr 17 2014 *)
%t A034517 DivisorSigma[Range[0,20],10] (* _Harvey P. Dale_, May 26 2019 *)
%o A034517 (Sage) [sigma(10,n)for n in range(0,18)] # _Zerinvary Lajos_, Jun 04 2009
%o A034517 (PARI) a(n)=sigma(10,n) \\ _Charles R Greathouse IV_, May 16 2011
%o A034517 (Magma) [DivisorSigma(n, 10): n in [0..20]]; // _Vincenzo Librandi_, Apr 17 2014
%K A034517 nonn,easy
%O A034517 0,1
%A A034517 _N. J. A. Sloane_
%E A034517 More terms from _Colin Barker_, Apr 20 2014