A380529 Smallest prime p such that p^p is a divisor of A380459(A005117(n)), or 1 if no such factor exists, where A380459(n) = Product_{d|n} A276086(n/d)^A349394(d) and A005117 lists the squarefree numbers.

1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 1, 2, 3, 2, 1, 1, 2, 1, 5, 1, 3, 1, 2, 1, 2, 2, 3, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 2, 5, 1, 3, 1, 2, 1, 2, 1, 2, 2, 3, 2, 1, 1, 3, 1, 2, 3, 1, 1, 3, 2, 1, 5, 2, 3, 2, 1, 2, 1, 2, 3, 1, 2, 1, 1, 3, 1, 2, 3, 2, 2, 1, 1, 1, 3, 2, 1, 1, 2, 2, 1, 2, 3, 1, 3, 1

Offset

1,7

Links

Antti Karttunen, Table of n, a(n) for n = 1..39845

Index entries for sequences related to primorial base.

Formula

a(n) = A380528(A005117(n)) = A129252(A380459(A005117(n))).

Prog

(PARI) for(n=1, oo, if(issquarefree(n), print1(A380528(n), ", ")));

Crossrefs

Cf. A005117, A129252, A276086, A349394, A380459, A380468, A380470, A380528.

Sequence in context: A249773 A030369 A298667 * A226166 A209155 A376369

Adjacent sequences: A380525 A380526 A380528 * A380531 A380532 A380533

Keyword

nonn,new

Author

Antti Karttunen, Feb 09 2025

Status

approved