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A328575
a(n) = A003557(A032742(A276086(n))).
3
1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 5, 5, 5, 5, 15, 5, 25, 25, 25, 25, 75, 25, 125, 125, 125, 125, 375, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 5, 5, 5, 5, 15, 5, 25, 25, 25, 25, 75, 25, 125, 125, 125, 125, 375, 1, 7, 7, 7, 7, 21, 7, 7, 7, 7, 7, 21, 7, 35, 35, 35, 35, 105, 35, 175, 175, 175, 175, 525, 175, 875, 875, 875, 875, 2625, 7
OFFSET
0,6
FORMULA
a(n) = A003557(A032742(A276086(n))).
For n >= 1, a(n) = A003557(A276086(A276151(n))).
For n >= 1, max(A276088(n),1+A051903(a(n))) = A328114(n).
PROG
(PARI)
A003557(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 2] = f[i, 2]-1); factorback(f); }; \\ From A003557
A032742(n) = if(1==n, n, n/vecmin(factor(n)[, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
KEYWORD
nonn
AUTHOR
Antti Karttunen, Oct 20 2019
STATUS
approved