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A322312
a(n) = Product_{d|n, d+1 is prime} prime(1+A286561(n,d+1)), where A286561(n,k) gives the k-valuation of n (for k > 1).
11
2, 6, 2, 20, 2, 18, 2, 28, 2, 12, 2, 120, 2, 6, 2, 88, 2, 60, 2, 60, 2, 12, 2, 168, 2, 6, 2, 40, 2, 72, 2, 104, 2, 6, 2, 800, 2, 6, 2, 168, 2, 54, 2, 40, 2, 12, 2, 528, 2, 12, 2, 40, 2, 84, 2, 56, 2, 12, 2, 1440, 2, 6, 2, 136, 2, 72, 2, 20, 2, 24, 2, 2240, 2, 6, 2, 20, 2, 36, 2, 528, 2, 12, 2, 720, 2, 6, 2, 112, 2
OFFSET
1,1
LINKS
FORMULA
a(n) = Product_{d|n} A000040(1+A286561(n,1+d))^A010051(1+d).
a(n) = A181819(A185633(n)).
For all n, A001222(a(n)) = A067513(n).
PROG
(PARI) A322312(n) = { my(m=1, p); fordiv(n, d, p=1+d; if(isprime(p), for(i=0, oo, if(n%(p^i), m *= prime(i); break)))); (m); };
CROSSREFS
Cf. A067513, A185633, A286561, A322313 (rgs-transform), A322314.
Cf. also A293514, A322310.
Sequence in context: A235797 A284433 A284436 * A174857 A248568 A257252
KEYWORD
nonn
AUTHOR
Antti Karttunen, Dec 03 2018
STATUS
approved