%I #15 Oct 08 2022 09:45:39
%S 1,4,6,12,12,24,20,35,33,47,37,74,48,75,75,99,71,127,84,144,121,143,
%T 111,215,137,184,173,231,157,289,174,280,232,272,238,393,226,321,297,
%U 420,264,463,283,443,404,426,323,612,363,526,440,567,387,664,456,673
%N Sum of round(d^(3/2)) where d runs through the divisors of n.
%H Amiram Eldar, <a href="/A332934/b332934.txt">Table of n, a(n) for n = 1..10000</a>
%p a:= n-> add(round(d^(3/2)), d=numtheory[divisors](n)):
%p seq(a(n), n=1..60); # _Alois P. Heinz_, Mar 02 2020
%t Table[DivisorSum[n,Floor[1/2+Sqrt[#^3]]&],{n,80}]
%o (Python)
%o from math import isqrt
%o from sympy import divisors
%o 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
%Y Cf. A058270, A086671, A332931, A332932, A332933, A332935.
%K nonn
%O 1,2
%A _Harvey P. Dale_, Mar 02 2020