A332934 Sum of round(d^(3/2)) where d runs through the divisors of n.

1, 4, 6, 12, 12, 24, 20, 35, 33, 47, 37, 74, 48, 75, 75, 99, 71, 127, 84, 144, 121, 143, 111, 215, 137, 184, 173, 231, 157, 289, 174, 280, 232, 272, 238, 393, 226, 321, 297, 420, 264, 463, 283, 443, 404, 426, 323, 612, 363, 526, 440, 567, 387, 664, 456, 673

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Maple

a:= n-> add(round(d^(3/2)), d=numtheory[divisors](n)):
seq(a(n), n=1..60);  # Alois P. Heinz, Mar 02 2020

Mathematica

Table[DivisorSum[n, Floor[1/2+Sqrt[#^3]]&], {n, 80}]

Prog

(Python)
from math import isqrt
from sympy import divisors
def A332934(n): return sum((m:=isqrt(r:=d**3))+int(r-m*(m+1)>=1) for d in divisors(n, generator=True)) # Chai Wah Wu, Aug 03 2022

Crossrefs

Cf. A058270, A086671, A332931, A332932, A332933, A332935.

Sequence in context: A038040 A143356 A058270 * A058199 A289535 A310592

Adjacent sequences: A332931 A332932 A332933 * A332935 A332936 A332937

Keyword

nonn

Author

Harvey P. Dale, Mar 02 2020

Status

approved