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Sum of n-th powers of divisors of 24.
3

%I #26 Sep 08 2022 08:44:52

%S 8,60,850,16380,358258,8253300,194402650,4624699020,110523825058,

%T 2647111898340,63466433646250,1522433108644860,36529334450076658,

%U 876595894555956180,21037008518317046650,504872725633265889900

%N Sum of n-th powers of divisors of 24.

%H T. D. Noe, <a href="/A034664/b034664.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (60,-1375,15960,-103348,383040,-792000,829440,-331776).

%F G.f.: -2*(414720*x^7 -792000*x^6 +574560*x^5 -206696*x^4 +39900*x^3 -4125*x^2 +210*x -4) / ((x -1)*(2*x -1)*(3*x -1)*(4*x -1)*(6*x -1)*(8*x -1)*(12*x -1)*(24*x -1)). - _Colin Barker_, Apr 20 2014

%t Total[#^Range[0, 20]&/@Divisors[24]] (* _Vincenzo Librandi_, Apr 17 2014 *)

%o (Sage) [sigma(24,n)for n in range(0,16)] # _Zerinvary Lajos_, Jun 04 2009

%o (Magma) [DivisorSigma(n,24): n in [0..20]]; // _Vincenzo Librandi_, Apr 17 2014

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_