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A332933 Sum of floor(d^(3/2)) where d runs through the divisors of n. 6

%I #13 Oct 08 2022 09:45:35

%S 1,3,6,11,12,22,19,33,33,45,37,71,47,73,75,97,71,125,83,142,120,142,

%T 111,210,137,181,173,229,157,286,173,278,231,271,237,390,226,319,295,

%U 416,263,460,282,441,403,424,323,606,362,523,440,563,386,661,455,670

%N Sum of floor(d^(3/2)) where d runs through the divisors of n.

%H Amiram Eldar, <a href="/A332933/b332933.txt">Table of n, a(n) for n = 1..10000</a>

%p a:= n-> add(floor(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[Sqrt[#^3]]&],{n,80}]

%o (PARI) a(n)={sumdiv(n, d, sqrtint(d^3))} \\ _Andrew Howroyd_, Mar 02 2020

%Y Cf. A058269, A086671, A332931, A332932, A332934, A332935.

%K nonn

%O 1,2

%A _Harvey P. Dale_, Mar 02 2020

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Last modified May 14 23:22 EDT 2024. Contains 372535 sequences. (Running on oeis4.)