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Sum of n-th powers of divisors of 144.
3

%I #18 Sep 08 2022 08:44:52

%S 15,403,31031,3543517,464378915,64178802493,9070067614091,

%T 1294620020196997,185637589303481315,26676789058694821933,

%U 3837572548050547502651,552334249790915518944277,79516409977044969123349715

%N Sum of n-th powers of divisors of 144.

%H T. D. Noe, <a href="/A034675/b034675.txt">Table of n, a(n) for n = 0..200</a>

%t With[{d144=Divisors[144]},Table[Total[d144^n],{n,0,15}]] (* _Harvey P. Dale_, Mar 11 2012 *)

%t Total[#^Range[0, 20]&/@Divisors[144]] (* _Vincenzo Librandi_, Apr 17 2014 *)

%t DivisorSigma[Range[0,15],144] (* _Harvey P. Dale_, Feb 26 2022 *)

%o (Magma) [DivisorSigma(n, 144): n in [0..20]]; // _Vincenzo Librandi_, Apr 17 2014

%Y Cf. A018302 (divisors of 144).

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_.