A351092 a(n) = Product_{d|A000265(n)} A019565(A289814(d)); a product obtained from the 2-digits present in ternary expansions of the odd divisors of n.

1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 2, 1, 1, 3, 6, 1, 6, 1, 5, 2, 15, 2, 10, 1, 30, 1, 1, 3, 2, 6, 1, 1, 6, 6, 36, 1, 1, 5, 1, 2, 2, 15, 3, 2, 30, 10, 10, 1, 15, 30, 90, 1, 30, 1, 28, 3, 35, 2, 14, 6, 21, 1, 105, 1, 28, 6, 7, 6, 210, 36, 42, 1, 35, 1, 3150, 5, 420, 1, 105, 2, 1, 2, 2, 15, 12, 3, 6, 2, 6, 30, 3, 10, 1, 10

Offset

1,5

Links

Table of n, a(n) for n=1..94.

Formula

a(n) = A351082(A000265(n)).

Prog

(PARI)
A019565(n) = { my(m=1, p=1); while(n>0, p = nextprime(1+p); if(n%2, m *= p); n >>= 1); (m); };
A289814(n) = { my(d=digits(n, 3)); fromdigits(vector(#d, i, if (d[i]==2, 1, 0)), 2); };
A351092(n) = { my(m=1); fordiv(n>>valuation(n, 2), d, m *= A019565(A289814(d))); (m); };

Crossrefs

Cf. A000265, A019565, A289814, A351082, A351091, A351094 (rgs-transform).

Sequence in context: A282497 A087157 A351094 * A138618 A140583 A237266

Adjacent sequences: A351089 A351090 A351091 * A351093 A351094 A351095

Keyword

nonn,easy

Author

Antti Karttunen, Jan 31 2022

Status

approved