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A338224
Multiplicative with a(A246655(k)) = prime(k) for any k > 0 (where prime(k) denotes the k-th prime number).
1
1, 2, 3, 5, 7, 6, 11, 13, 17, 14, 19, 15, 23, 22, 21, 29, 31, 34, 37, 35, 33, 38, 41, 39, 43, 46, 47, 55, 53, 42, 59, 61, 57, 62, 77, 85, 67, 74, 69, 91, 71, 66, 73, 95, 119, 82, 79, 87, 83, 86, 93, 115, 89, 94, 133, 143, 111, 106, 97, 105, 101, 118, 187, 103
OFFSET
1,2
COMMENTS
All terms are distinct and squarefree.
This sequence has similarities with A160102, however some squarefree numbers do not appear here.
LINKS
EXAMPLE
a(3) = a(A246655(2)) = prime(2) = 3.
a(4) = a(A246655(3)) = prime(3) = 5.
a(12) = a(3) * a(4) = 3*5 = 15.
PROG
(PARI) pk = select(v -> omega(v)==1, [1..m=64]); for (n=1, m, f=factor(n); print1 (prod(k=1, #f~, prime(setsearch(pk, f[k, 1]^f[k, 2])))", "))
CROSSREFS
KEYWORD
nonn,mult
AUTHOR
Rémy Sigrist, Jan 30 2021
STATUS
approved