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A332932 Sum of ceiling(sqrt(d)) where d runs through the divisors of n. 5
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..71.

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

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

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Last modified June 14 14:21 EDT 2021. Contains 345025 sequences. (Running on oeis4.)