A342016 - OEIS

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A342016

Difference between the arithmetic derivative of A276086(n) and A276086(n) itself, which is the prime product form of primorial base expansion of n.

-1, -1, -2, -1, -3, 3, -4, -3, -7, 1, -6, 33, -15, -5, -20, 35, 15, 255, -50, 25, -25, 325, 300, 1725, -125, 375, 250, 2375, 2625, 10875, -6, -5, -11, -1, -12, 39, -23, -11, -34, 37, 3, 321, -80, 15, -65, 395, 330, 2235, -225, 425, 200, 3025, 3225, 14325, -250, 3875, 3625, 20375, 24000, 87375, -35, -21, -56, 35, -21

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OFFSET

0,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..2310

Index entries for sequences related to primorial base

FORMULA

a(n) = A168036(A276086(n)) = A327860(n) - A276086(n).

For all n >= 0, gcd(a(n), A276086(n)) = gcd(a(n), A327860(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]));