A319680 a(n) = Product_{d|n} A019565(d)^[moebius(n/d) = +1].

2, 3, 6, 5, 10, 30, 30, 7, 14, 42, 42, 105, 70, 210, 420, 11, 22, 198, 66, 165, 220, 330, 330, 385, 154, 462, 462, 1155, 770, 207900, 2310, 13, 52, 78, 156, 975, 130, 390, 780, 455, 182, 147420, 546, 1365, 5460, 2730, 2730, 1001, 286, 4290, 1716, 2145, 1430, 30030, 8580, 5005, 4004, 6006, 6006, 7882875, 10010, 30030, 180180, 17, 68

Offset

1,1

Links

Antti Karttunen, Table of n, a(n) for n = 1..8192

Formula

a(n) = A019565(n) * A300831(n).

Prog

(PARI)
A019565(n) = {my(j, v); factorback(Mat(vector(if(n, #n=vecextract(binary(n), "-1..1")), j, [prime(j), n[j]])~))}; \\ From A019565
A319680(n) = { my(m=1); fordiv(n, d, if((1==moebius(n/d)), m *= A019565(d))); m; };

Crossrefs

Cf. A019565, A300831, A319681 (rgs-transform).

Sequence in context: A377566 A340316 A274608 * A350337 A133477 A303695

Adjacent sequences: A319677 A319678 A319679 * A319681 A319682 A319683

Keyword

nonn

Author

Antti Karttunen, Sep 29 2018

Status

approved