A034669 Sum of n-th powers of divisors of 56.

8, 120, 4250, 201240, 10494338, 568530600, 31330783250, 1740696128760, 97096611969218, 5426768739979080, 303601976474731250, 16993404958986493080, 951398288846993188898, 53271799678887170275560, 2983038689530691785543250, 167045068491414861803398200

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 (120,-5075,100080,-1023828,5604480,-15915200,21073920,-9834496).

Formula

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

Mathematica

Total[#^Range[0, 20]&/@Divisors[56]] (* Vincenzo Librandi, Apr 17 2014 *)

Prog

(Magma) [DivisorSigma(n, 56): n in [0..15]]; // Vincenzo Librandi, Apr 17 2014
(PARI) vector(30, n, sigma(56, n-1)) \\ Colin Barker, May 03 2014

Crossrefs

Cf. A018265 (divisors of 56).

Sequence in context: A360482 A229045 A173774 * A000848 A214426 A281833

Adjacent sequences: A034666 A034667 A034668 * A034670 A034671 A034672

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved