A342015 a(n) = A003415(A276086(n)) mod A276086(n).

0, 1, 1, 5, 6, 3, 1, 7, 8, 1, 39, 33, 10, 45, 55, 35, 15, 255, 75, 25, 350, 325, 300, 1725, 500, 375, 250, 2375, 2625, 10875, 1, 9, 10, 41, 51, 39, 12, 59, 71, 37, 3, 321, 95, 15, 460, 395, 330, 2235, 650, 425, 200, 3025, 3225, 14325, 4125, 3875, 3625, 20375, 24000, 8625, 14, 77, 91, 35, 420, 399, 119, 483, 602, 469

Offset: 0

Author

Antti Karttunen, Mar 04 2021

Keywords

• nonn

Comments

No zeros after the initial a(0) = 0.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..2310
• Index entries for sequences related to primorial base

Crossrefs

Cf. A003415, A276086, A327860, A328572, A342014, A342016.

Programs

PARI

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A342015(n) = { my(u=A276086(n)); (A003415(u)%u); };

Formula

a(n) = A342014(A276086(n)).

a(n) = A327860(n) mod A276086(n).

For all n >= 0, gcd(a(n), A276086(n)) = A328572(n).