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A373158 Fully additive with a(p) = p# for prime p, where x# is the primorial A034386(x). 10
0, 2, 6, 4, 30, 8, 210, 6, 12, 32, 2310, 10, 30030, 212, 36, 8, 510510, 14, 9699690, 34, 216, 2312, 223092870, 12, 60, 30032, 18, 214, 6469693230, 38, 200560490130, 10, 2316, 510512, 240, 16, 7420738134810, 9699692, 30036, 36, 304250263527210, 218, 13082761331670030, 2314, 42, 223092872, 614889782588491410, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Completely additive with a(p^e) = e * A002110(A000720(p)).
LINKS
FORMULA
From Antti Karttunen, Jun 25 2024: (Start)
a(n) = A276085(A003961(n)).
For n >= 1, a(A000040(n)) = A002110(n).
(End)
PROG
(PARI) A373158(n) = { my(f=factor(n)); sum(i=1, #f~, f[i, 2]*prod(i=1, primepi(f[i, 1]), prime(i))); }; \\ corrected Jun 25 2024
CROSSREFS
Sequence in context: A326579 A057643 A073039 * A322792 A253588 A228099
KEYWORD
nonn
AUTHOR
Antti Karttunen, May 27 2024
EXTENSIONS
Data [first incorrect term was at a(8)] and the faulty PARI-program corrected by Antti Karttunen, Jun 25 2024
STATUS
approved

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Last modified August 28 01:15 EDT 2024. Contains 375477 sequences. (Running on oeis4.)