A346093 a(n) = A276085(A328571(A108951(n))).

1, 2, 6, 2, 30, 6, 210, 8, 36, 30, 2310, 6, 30030, 210, 30, 8, 510510, 36, 9699690, 30, 210, 2310, 223092870, 36, 240, 30030, 216, 210, 6469693230, 240, 200560490130, 32, 2310, 510510, 2520, 36, 7420738134810, 9699690, 30030, 240, 304250263527210, 2520, 13082761331670030, 2310, 240, 223092870, 614889782588491410, 36, 32550

Offset

1,2

Links

Table of n, a(n) for n=1..49.

Index entries for sequences related to primorial base

Index entries for sequences related to primorial numbers

Formula

a(n) = A276085(A346091(n)) = A276085(A328571(A108951(n))).

a(n) = A108951(n) - A346092(n).

Prog

(PARI)
A002110(n) = prod(i=1, n, prime(i));
A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A002110(primepi(f[i, 1]))^f[i, 2]) };
A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*A002110(primepi(f[k, 1])-1)); };
A328571(n) = { my(m=1, p=2); while(n, m *= (p^!!(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A346093(n) = A276085(A328571(A108951(n)));

Crossrefs

Cf. A002110, A108951, A276085, A328571, A346091, A346092.

Sequence in context: A225481 A366572 A144845 * A345284 A200563 A284577

Adjacent sequences: A346090 A346091 A346092 * A346094 A346095 A346096

Keyword

nonn

Author

Antti Karttunen, Jul 09 2021

Status

approved