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

0,1

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).

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

Mathematica

Total[#^Range[0, 20]&/@Divisors[24]] (* Vincenzo Librandi, Apr 17 2014 *)

Prog

(Sage) [sigma(24, n)for n in range(0, 16)] # Zerinvary Lajos, Jun 04 2009
(Magma) [DivisorSigma(n, 24): n in [0..20]]; // Vincenzo Librandi, Apr 17 2014

Crossrefs

Sequence in context: A356595 A356598 A075147 * A242084 A007399 A071401

Adjacent sequences: A034661 A034662 A034663 * A034665 A034666 A034667

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved