A323399 Sum of Jordan function J_2(n), A007434 and its Dirichlet inverse, A046970.

2, 0, 0, 9, 0, 48, 0, 45, 64, 144, 0, 120, 0, 288, 384, 189, 0, 240, 0, 360, 768, 720, 0, 408, 576, 1008, 640, 720, 0, 0, 0, 765, 1920, 1728, 2304, 888, 0, 2160, 2688, 1224, 0, 0, 0, 1800, 1920, 3168, 0, 1560, 2304, 1872, 4608, 2520, 0, 1968, 5760, 2448, 5760, 5040, 0, 1728, 0, 5760, 3840, 3069, 8064, 0, 0, 4320, 8448, 0, 0, 3480, 0, 8208, 4992, 5400

Offset

1,1

Links

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

Formula

a(n) = A007434(n) + A046970(n).

Prog

(PARI)
A007434(n) = sumdiv(n, d, d*d*moebius(n/d));
A046970(n) = if(1==n, n, my(f=factor(n)); for(i=1, #f~, f[i, 1] = 1-(f[i, 1]^2)); factorback(f[, 1]));
A323399(n) = (A007434(n) + A046970(n));

Crossrefs

Cf. A007434, A046970.

Cf. also A319340, A322581, A323364.

Sequence in context: A347095 A346255 A346480 * A246714 A246708 A249387

Adjacent sequences: A323396 A323397 A323398 * A323400 A323401 A323402

Keyword

nonn

Author

Antti Karttunen, Jan 13 2019

Status

approved