A034668 Sum of n-th powers of divisors of 48.

10, 124, 3410, 131068, 5732210, 264105844, 12441770330, 591961476748, 28294099221410, 1355321291969764, 64989628053819050, 3117943006504850428, 149624153907514522610, 7181073568202394620884, 344670347564106497096570

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• T. D. Noe, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (124,-5983,150040,-2180788,19254592,-104677824,345692160,-661671936,658243584,-254803968).

Crossrefs

Cf. A018261 (divisors of 48).

Programs

Magma

[DivisorSigma(n,48): n in [0..15]]; // Vincenzo Librandi, Apr 17 2014

Mathematica

With[{d=Divisors[48]},Table[Total[d^n],{n,0,20}]] (* Harvey P. Dale, Aug 14 2012 *)
Total[#^Range[0, 20]&/@Divisors[48]] (* Vincenzo Librandi, Apr 17 2014 *)

Formula

a(n) = Sum_{d|48} d^n. - Wesley Ivan Hurt, Dec 29 2023