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A319990
a(n) = Product_{d|n, d<n} A019565(d)^[0 == d mod 3].
6
1, 1, 1, 1, 1, 6, 1, 1, 6, 1, 1, 90, 1, 1, 6, 1, 1, 1260, 1, 1, 6, 1, 1, 3150, 1, 1, 84, 1, 1, 18900, 1, 1, 6, 1, 1, 1455300, 1, 1, 6, 1, 1, 9900, 1, 1, 17640, 1, 1, 242550, 1, 1, 6, 1, 1, 19209960, 1, 1, 6, 1, 1, 764032500, 1, 1, 9240, 1, 1, 2340, 1, 1, 6, 1, 1, 7283776500, 1, 1, 1260, 1, 1, 35100, 1, 1, 38808, 1, 1, 94594500, 1, 1, 6, 1, 1
OFFSET
1,6
LINKS
FORMULA
a(n) = Product_{d|n, d<n} A019565(d)^[0 == d mod 3].
a(n) = A293214(n) / (A319991(n)*A319992(n)).
For all n >= 1:
A007814(a(n)) = A320003(n).
A195017(a(n)) = 0 mod 3.
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
A319990(n) = { my(m=1); fordiv(n, d, if((d<n)&&(0==(d%3)), m *= A019565(d))); m; };
CROSSREFS
Cf. A293214, A319991, A319992, A320003, A320010 (rgs-transform).
Sequence in context: A182429 A325385 A195385 * A138073 A131778 A095713
KEYWORD
nonn
AUTHOR
Antti Karttunen, Oct 03 2018
STATUS
approved