A058270 An approximation to sigma_{3/2}(n): round( sum_{d|n} d^(3/2) ).

1, 4, 6, 12, 12, 24, 20, 34, 33, 47, 37, 73, 48, 75, 75, 98, 71, 127, 84, 144, 121, 144, 111, 213, 137, 183, 173, 231, 157, 289, 174, 279, 232, 272, 238, 393, 226, 321, 297, 420, 264, 463, 283, 443, 404, 426, 323, 610, 363, 525, 441, 566, 387

Offset

1,2

Links

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

Formula

Sum_{k=1..n} a(k) ~ (2/5)*zeta(5/2) * n^(5/2). - Amiram Eldar, Jan 14 2023

Maple

f := proc(n) local d, t1, t2; t2 := 0; t1 := divisors(n); for d in t1 do t2 := t2 + d^(3/2) end do; t2; end proc; # exact value of sigma_{3/2}(n)

Mathematica

a[n_] := Round[DivisorSigma[3/2, n]]; Array[a, 50] (* Amiram Eldar, Jan 14 2023 *)

Crossrefs

Cf. A000203, A001157, A058269, A058271, A247041.

Sequence in context: A365648 A038040 A143356 * A332934 A058199 A289535

Adjacent sequences: A058267 A058268 A058269 * A058271 A058272 A058273

Keyword

nonn

Author

N. J. A. Sloane, Dec 08 2000

Status

approved