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A258331 Sum of the cubes of the divisors of n^3. 1
1, 585, 20440, 299593, 1968876, 11957400, 40471600, 153391689, 402321277, 1151792460, 2359720584, 6123680920, 10609328380, 23675886000, 40243825440, 78536544841, 118612018980, 235357947045, 322734750520, 589861467468, 827239504000, 1380436541640 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = sigma_3(n^3) = A001158(A000578(n)).

EXAMPLE

For n=2, the divisors of 2^3 = 8 are 1, 2, 4 and 8. The sum of the cubes of these divisors is 1^3+2^3+4^3+8^3 = 585, therefore a(2) = 585.

MAPLE

with(numtheory): A258331:=n->sigma[3](n^3): seq(A258331(n), n=1..50);

MATHEMATICA

Table[DivisorSigma[3, n^3], {n, 50}]

PROG

(MAGMA) [DivisorSigma(3, n^3): n in [1..50]]; // Vincenzo Librandi, May 27 2015

(PARI) a(n)=sigma(n^3, 3) \\ Charles R Greathouse IV, May 27 2015

(Sage) [sigma(n^3, 3) for n in (1..50)] # Bruno Berselli, May 27 2015

CROSSREFS

Cf. A000578, A001158, A065827.

Sequence in context: A043428 A038486 A024380 * A022243 A217446 A171436

Adjacent sequences:  A258328 A258329 A258330 * A258332 A258333 A258334

KEYWORD

nonn,easy,mult

AUTHOR

Wesley Ivan Hurt, May 26 2015

STATUS

approved

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Last modified April 19 10:56 EDT 2019. Contains 322258 sequences. (Running on oeis4.)