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

0,4

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

Formula

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

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

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

Prog

(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); };

Crossrefs

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

Sequence in context: A011499 A242813 A106599 * A222466 A195448 A079267

Adjacent sequences: A342012 A342013 A342014 * A342016 A342017 A342018

Keyword

nonn

Author

Antti Karttunen, Mar 04 2021

Status

approved