A034675 - OEIS

A034675

Sum of n-th powers of divisors of 144.

15, 403, 31031, 3543517, 464378915, 64178802493, 9070067614091, 1294620020196997, 185637589303481315, 26676789058694821933, 3837572548050547502651, 552334249790915518944277, 79516409977044969123349715

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OFFSET

0,1

LINKS

T. D. Noe, Table of n, a(n) for n = 0..200

MATHEMATICA

With[{d144=Divisors[144]}, Table[Total[d144^n], {n, 0, 15}]] (* Harvey P. Dale, Mar 11 2012 *)

Total[#^Range[0, 20]&/@Divisors[144]] (* Vincenzo Librandi, Apr 17 2014 *)

DivisorSigma[Range[0, 15], 144] (* Harvey P. Dale, Feb 26 2022 *)

PROG

(Magma) [DivisorSigma(n, 144): n in [0..20]]; // Vincenzo Librandi, Apr 17 2014

CROSSREFS

Cf. A018302 (divisors of 144).

Sequence in context: A323838 A278981 A279133 * A216343 A184222 A069431

Adjacent sequences: A034672 A034673 A034674 * A034676 A034677 A034678

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved