A331072 a(n) = Sum_{k = 1..n} u_3(k), where u_3 = A034836.

1, 2, 3, 5, 6, 8, 9, 12, 14, 16, 17, 21, 22, 24, 26, 30, 31, 35, 36, 40, 42, 44, 45, 51, 53, 55, 58, 62, 63, 68, 69, 74, 76, 78, 80, 88, 89, 91, 93, 99, 100, 105, 106, 110, 114, 116, 117, 126, 128, 132, 134, 138, 139, 145, 147, 153, 155, 157, 158, 168, 169, 171, 175, 182, 184, 189, 190, 194, 196, 201, 202, 214, 215, 217

Offset: 1

Author

N. J. A. Sloane, Jan 10 2020

Keywords

• nonn

Comments

For background references see A330570.

Links

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

Crossrefs

Cf. A034836.

A096276 has the same initial terms, but is a different sequence.

Programs

Mathematica

s[1] = 1; s[n_] := Module[{e = FactorInteger[n][[;; , 2]]}, If[IntegerQ[Surd[n, 3]], 1/3, 0] + (Times @@ ((e + 1)*(e + 2)/2))/6 + (Times @@ (Floor[e/2] + 1))/2]; Accumulate[Array[s, 100]] (* Amiram Eldar, Apr 19 2024 *)