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A034668
Sum of n-th powers of divisors of 48.
3
10, 124, 3410, 131068, 5732210, 264105844, 12441770330, 591961476748, 28294099221410, 1355321291969764, 64989628053819050, 3117943006504850428, 149624153907514522610, 7181073568202394620884, 344670347564106497096570
OFFSET
0,1
LINKS
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
KEYWORD
nonn,easy
AUTHOR
STATUS
approved