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A034666 Sum of n-th powers of divisors of 36. 3
9, 91, 1911, 55261, 1813539, 62672701, 2214363531, 79017297541, 2832604648419, 101763873519661, 3659794373013051, 131686747008947221, 4739547370427122899, 170602660692644492221, 6141318334706291980971 (list; graph; refs; listen; history; text; internal format)
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 *)

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

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Last modified September 20 16:05 EDT 2020. Contains 337265 sequences. (Running on oeis4.)