A329602 Square root of largest square dividing A108951(n), where A108951 is fully multiplicative with a(prime(i)) = prime(i)# = Product_{i=1..i} A000040(i).

1, 1, 1, 2, 1, 2, 1, 2, 6, 2, 1, 2, 1, 2, 6, 4, 1, 6, 1, 2, 6, 2, 1, 4, 30, 2, 6, 2, 1, 6, 1, 4, 6, 2, 30, 12, 1, 2, 6, 4, 1, 6, 1, 2, 6, 2, 1, 4, 210, 30, 6, 2, 1, 12, 30, 4, 6, 2, 1, 12, 1, 2, 6, 8, 30, 6, 1, 2, 6, 30, 1, 12, 1, 2, 30, 2, 210, 6, 1, 4, 36, 2, 1, 12, 30, 2, 6, 4, 1, 12, 210, 2, 6, 2, 30, 8, 1, 210, 6, 60, 1, 6, 1, 4, 30

Offset: 1

Author

Antti Karttunen, Nov 19 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10201

Crossrefs

Cf. A000188, A108951.

Programs

PARI

A000188(n) = core(n, 1)[2]; \\ From A000188
A034386(n) = prod(i=1, primepi(n), prime(i));
A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A034386(f[i, 1])^f[i, 2]) }; \\ From A108951
A329602(n) = A000188(A108951(n));

Formula

a(n) = A000188(A108951(n)).