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A323399
Sum of Jordan function J_2(n), A007434 and its Dirichlet inverse, A046970.
4
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
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. also A319340, A322581, A323364.
Sequence in context: A347095 A346255 A346480 * A246714 A246708 A249387
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 13 2019
STATUS
approved