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A332935
Sum of ceiling(n^(3/2)) where d runs through the divisors of n.
6
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
OFFSET
1,2
LINKS
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
(Python)
from math import isqrt
from sympy import divisors
def A332935(n): return sum(1+isqrt(d**3-1) for d in divisors(n, generator=True)) # Chai Wah Wu, Aug 03 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Harvey P. Dale, Mar 02 2020
STATUS
approved