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 A034669 #25 Jul 08 2025 21:26:45 %S A034669 8,120,4250,201240,10494338,568530600,31330783250,1740696128760, %T A034669 97096611969218,5426768739979080,303601976474731250, %U A034669 16993404958986493080,951398288846993188898,53271799678887170275560,2983038689530691785543250,167045068491414861803398200 %N A034669 Sum of n-th powers of divisors of 56. %H A034669 T. D. Noe, <a href="/A034669/b034669.txt">Table of n, a(n) for n = 0..200</a> %H A034669 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (120,-5075,100080,-1023828,5604480,-15915200,21073920,-9834496). %F A034669 G.f.: -2*(10536960*x^7 -15915200*x^6 +8406720*x^5 -2047656*x^4 +250200*x^3 -15225*x^2 +420*x -4) / ((x -1)*(2*x -1)*(4*x -1)*(7*x -1)*(8*x -1)*(14*x -1)*(28*x -1)*(56*x -1)). - _Colin Barker_, May 03 2014 %t A034669 Total[#^Range[0, 20]&/@Divisors[56]] (* _Vincenzo Librandi_, Apr 17 2014 *) %o A034669 (Magma) [DivisorSigma(n,56): n in [0..15]]; // _Vincenzo Librandi_, Apr 17 2014 %o A034669 (PARI) vector(30, n, sigma(56, n-1)) \\ _Colin Barker_, May 03 2014 %Y A034669 Cf. A018265 (divisors of 56). %K A034669 nonn,easy %O A034669 0,1 %A A034669 _N. J. A. Sloane_