A324896 Largest proper divisor of A324886(n).

1, 1, 1, 3, 1, 5, 1, 5, 7, 7, 1, 125, 1, 11, 16807, 75, 1, 245, 1, 343, 161051, 13, 1, 175, 102487, 17, 11, 1331, 1, 26411, 1, 7, 371293, 19, 3293331899, 300125, 1, 23, 1419857, 11, 1, 13, 1, 2197, 161051, 29, 1, 343, 82055753, 73525096183, 2476099, 4913, 1, 605, 634933, 19487171, 6436343, 31, 1, 65219, 1, 37, 265837, 147

Offset

1,4

Links

Antti Karttunen, Table of n, a(n) for n = 1..2310

Index entries for sequences computed from indices in prime factorization

Index entries for sequences related to primorial base

Index entries for sequences related to primorial numbers

Formula

a(n) = A032742(A324886(n)) = A324895(A108951(n)).

Prog

(PARI)
A034386(n) = prod(i=1, primepi(n), prime(i));
A032742(n) = if(1==n, n, n/vecmin(factor(n)[, 1]));
A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A034386(f[i, 1])^f[i, 2]) };  \\ From A108951
A276086(n) = { my(i=0, m=1, pr=1, nextpr); while((n>0), i=i+1; nextpr = prime(i)*pr; if((n%nextpr), m*=(prime(i)^((n%nextpr)/pr)); n-=(n%nextpr)); pr=nextpr); m; };
A324886(n) = A276086(A108951(n));
A324896(n) = A032742(A324886(n));

Crossrefs

Cf. A032742, A108951, A276086, A324886, A324895.

Sequence in context: A334194 A046730 A002972 * A029652 A238952 A333976

Adjacent sequences: A324893 A324894 A324895 * A324897 A324898 A324899

Keyword

nonn

Author

Antti Karttunen, Mar 30 2019

Status

approved