A034666 Sum of n-th powers of divisors of 36.

9, 91, 1911, 55261, 1813539, 62672701, 2214363531, 79017297541, 2832604648419, 101763873519661, 3659794373013051, 131686747008947221, 4739547370427122899, 170602660692644492221, 6141318334706291980971

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 (91,-3185,57065,-580398,3482388,-12326040,24766560,-25474176,10077696).

Formula

G.f.: -(25474176*x^8 -49533120*x^7 +36978120*x^6 -13929552*x^5 +2901990*x^4 -342390*x^3 +22295*x^2 -728*x +9) / ((x -1)*(2*x -1)*(3*x -1)*(4*x -1)*(6*x -1)*(9*x -1)*(12*x -1)*(18*x -1)*(36*x -1)). - Colin Barker, Apr 20 2014

Mathematica

Total[#^Range[0, 20]&/@Divisors[36]] (* Vincenzo Librandi, Apr 17 2014 *)
DivisorSigma[Range[0, 20], 36] (* Harvey P. Dale, Dec 23 2021 *)

Prog

(Magma) [DivisorSigma(n, 36): n in [0..20]]; // Vincenzo Librandi, Apr 17 2014

Crossrefs

Cf. A018256 (divisors of 36).

Sequence in context: A022520 A020236 A068624 * A022505 A225162 A128384

Adjacent sequences: A034663 A034664 A034665 * A034667 A034668 A034669

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved