A034664 Sum of n-th powers of divisors of 24.
8, 60, 850, 16380, 358258, 8253300, 194402650, 4624699020, 110523825058, 2647111898340, 63466433646250, 1522433108644860, 36529334450076658, 876595894555956180, 21037008518317046650, 504872725633265889900
Offset: 0
Links
- T. D. Noe, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (60,-1375,15960,-103348,383040,-792000,829440,-331776).
Programs
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Magma
[DivisorSigma(n,24): n in [0..20]]; // Vincenzo Librandi, Apr 17 2014
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Mathematica
Total[#^Range[0, 20]&/@Divisors[24]] (* Vincenzo Librandi, Apr 17 2014 *)
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Sage
[sigma(24,n)for n in range(0,16)] # Zerinvary Lajos, Jun 04 2009
Formula
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