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

0,1

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).

Formula

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

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 *)

Prog

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

Crossrefs

Cf. A018261 (divisors of 48).

Sequence in context: A263552 A259839 A005174 * A215854 A123358 A230390

Adjacent sequences: A034665 A034666 A034667 * A034669 A034670 A034671

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved