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A332935 Sum of ceiling(n^(3/2)) where d runs through the divisors of n. 5
1, 4, 7, 12, 13, 25, 20, 35, 34, 48, 38, 75, 48, 76, 78, 99, 72, 129, 84, 146, 123, 145, 112, 216, 138, 184, 175, 233, 158, 293, 174, 281, 234, 274, 240, 395, 227, 322, 298, 422, 264, 467, 283, 445, 407, 427, 324, 613, 363, 527, 443, 567, 387, 667, 458, 676 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..56.

MAPLE

a:= n-> add(ceil(d^(3/2)), d=numtheory[divisors](n)):

seq(a(n), n=1..60);  # Alois P. Heinz, Mar 02 2020

MATHEMATICA

Table[DivisorSum[n, Ceiling[Sqrt[#^3]]&], {n, 80}]

PROG

(PARI) a(n)={sumdiv(n, d, 1 + sqrtint(d^3 - 1))} \\ Andrew Howroyd, Mar 02 2020

CROSSREFS

Cf. A058271, A086671, A332931, A332932, A332933, A332934.

Sequence in context: A310769 A344598 A058271 * A244590 A310770 A268816

Adjacent sequences:  A332932 A332933 A332934 * A332936 A332937 A332938

KEYWORD

nonn

AUTHOR

Harvey P. Dale, Mar 02 2020

STATUS

approved

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Last modified June 25 08:27 EDT 2021. Contains 345453 sequences. (Running on oeis4.)