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A328390
Maximal digit value in primorial base expansion of the arithmetic derivative of n: a(n) = A328114(A003415(n)).
11
0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 4, 2, 2, 1, 2, 2, 2, 4, 1, 1, 1, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 1, 4, 1, 3, 2, 2, 3, 4, 1, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 6, 3, 2, 1, 2, 4, 4, 1, 5, 1, 1, 4, 3, 3, 2, 1, 5, 3, 2, 1, 4, 3, 2, 1, 4, 1, 4, 3, 3, 2, 3, 4, 2, 1, 2, 2, 4, 1, 3, 1, 5, 2
OFFSET
1,4
FORMULA
a(n) = A328114(A003415(n)).
a(n) = A051903(A327859(n)).
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A328114(n) = { my(s=0, p=2); while(n, s = max(s, (n%p)); n = n\p; p = nextprime(1+p)); (s); };
KEYWORD
nonn
AUTHOR
Antti Karttunen, Oct 15 2019
STATUS
approved