A332932 Sum of ceiling(sqrt(d)) where d runs through the divisors of n.

1, 3, 3, 5, 4, 8, 4, 8, 6, 10, 5, 14, 5, 10, 10, 12, 6, 16, 6, 17, 11, 12, 6, 22, 9, 13, 12, 18, 7, 25, 7, 18, 13, 14, 13, 28, 8, 15, 14, 27, 8, 27, 8, 21, 20, 15, 8, 33, 11, 23, 16, 23, 9, 30, 16, 29, 16, 17, 9, 44, 9, 17, 22, 26, 17, 32, 10, 25, 17, 32, 10

Offset

1,2

Links

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

Maple

a:= n-> add(ceil(sqrt(d)), d=numtheory[divisors](n)):
seq(a(n), n=1..80);  # Alois P. Heinz, Mar 02 2020

Mathematica

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

Prog

(PARI) a(n) = sumdiv(n, d, ceil(sqrt(d))); \\ Michel Marcus, Mar 03 2020
(Python)
from math import isqrt
from sympy import divisors
def A332932(n): return sum(1+isqrt(d-1) for d in divisors(n, generator=True)) # Chai Wah Wu, Jul 28 2022

Crossrefs

Cf. A058268, A086671, A332931, A332933, A332934, A332935.

Sequence in context: A058268 A341729 A087851 * A087852 A087853 A095334

Adjacent sequences: A332929 A332930 A332931 * A332933 A332934 A332935

Keyword

nonn

Author

Harvey P. Dale, Mar 02 2020

Status

approved