A323364 Sum of Dedekind's psi, A001615, and its Dirichlet inverse, A323363.

2, 0, 0, 9, 0, 24, 0, 9, 16, 36, 0, 12, 0, 48, 48, 27, 0, 24, 0, 18, 64, 72, 0, 60, 36, 84, 32, 24, 0, 0, 0, 45, 96, 108, 96, 84, 0, 120, 112, 90, 0, 0, 0, 36, 48, 144, 0, 84, 64, 72, 144, 42, 0, 120, 144, 120, 160, 180, 0, 216, 0, 192, 64, 99, 168, 0, 0, 54, 192, 0, 0, 132, 0, 228, 96, 60, 192, 0, 0, 126, 112, 252, 0, 288, 216, 264, 240, 180, 0

Offset

1,1

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Prog

(PARI)
A001615(n) = (n * sumdivmult(n, d, issquarefree(d)/d)); \\ From A001615
A323363(n) = if(1==n, 1, -sumdiv(n, d, if(d<n, A001615(n/d)*A323363(d), 0)));
A323364(n) = (A001615(n) + A323363(n));

Crossrefs

Cf. A001615, A323363.

Cf. also A319340, A322581, A323365, A323372, A323399.

Sequence in context: A349352 A323896 A345065 * A323403 A346238 A347085

Adjacent sequences: A323361 A323362 A323363 * A323365 A323366 A323367

Keyword

nonn

Author

Antti Karttunen, Jan 13 2019

Status

approved