A351233 - OEIS

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A351233

a(n) = A276085(A351231(n)).

6

0, 0, 2, 3, 4, 5, 0, 7, 6, 6, 10, 11, 12, 13, 12, 14, 16, 17, 18, 19, 18, 14, 22, 23, 24, 18, 18, 25, 28, 29, 30, 31, 32, 2, 34, 32, 30, 37, 6, 38, 40, 41, 42, 43, 42, 43, 34, 47, 18, 18, 42, 44, 22, 53, 54, 54, 56, 56, 58, 59, 60, 61, 60, 61, 62, 60, 66, 67, 66, 68, 70, 71, 72, 73, 72, 69, 70, 72, 78, 79, 80, 78

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OFFSET

0,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for sequences related to primorial base

FORMULA

a(n) = A276085(A351231(n)) = A276085(A276086(n) / gcd(A003415(n), A276086(n))).

a(n) = n - A351234(n).

PROG

(PARI)

A002110(n) = prod(i=1, n, prime(i));

A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*A002110(primepi(f[k, 1])-1)); };

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); };

A351231(n) = { my(u=A276086(n)); u/gcd(A003415(n), u); };

A351233(n) = A276085(A351231(n));

CROSSREFS

Cf. A003415, A276085, A276086, A351231, A351234.

Sequence in context: A267000 A365430 A224892 * A265517 A063972 A063973

Adjacent sequences: A351230 A351231 A351232 * A351234 A351235 A351236

KEYWORD

nonn,base,easy,look

AUTHOR

Antti Karttunen, Feb 05 2022

STATUS

approved