A333793 a(n) = A333794(n) - A073934(n).

0, 0, 0, 0, 0, 1, 1, 0, 1, 3, 3, 3, 3, 8, 5, 0, 0, 6, 6, 9, 12, 18, 18, 7, 9, 18, 6, 22, 22, 18, 18, 0, 30, 15, 24, 16, 16, 33, 28, 21, 21, 37, 37, 48, 24, 69, 69, 15, 37, 36, 29, 48, 48, 25, 54, 50, 49, 77, 77, 44, 44, 73, 49, 0, 56, 83, 83, 45, 113, 75, 75, 36, 36, 71, 54, 87, 87, 81, 81, 45, 25, 84, 84, 87, 57, 128, 119, 108, 108, 71

Offset

1,10

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Formula

a(n) = A333794(n) - A073934(n).

a(p) = a(p-1), for all primes p.

a(A000079(n)) = a(A019434(n)) = 0, for all applicable n.

Prog

(PARI)
A073934(n) = if(1==n, n, n + A073934(n-(n/vecmin(factor(n)[, 1]))));
A333794(n) = if(1==n, n, n + A333794(n-(n/vecmax(factor(n)[, 1]))));
A333793(n) = (A333794(n)-A073934(n));

Crossrefs

Cf. A000079, A019434, A032742, A052126, A073934, A332904, A333123, A333794.

Partial sums of A333792.

Sequence in context: A078229 A222292 A245441 * A007428 A184099 A074816

Adjacent sequences: A333790 A333791 A333792 * A333794 A333795 A333796

Keyword

nonn

Author

Antti Karttunen, Apr 05 2020

Status

approved