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A088847
a(n) = sigma(A087979(n)) / phi(A087979(n)).
0
1, 1, 3, 4, 4, 6, 6, 8, 9, 8, 10, 12, 12, 14, 15, 16, 16, 18, 18, 20, 21, 20, 22, 24, 25, 24, 27, 28, 28, 30, 30, 32, 33, 32, 35, 36, 36, 36, 39, 40, 40, 42, 42, 44, 45, 46, 46, 48, 49, 50, 51, 52, 52, 54, 55, 56, 57, 56, 58, 60, 60, 62, 63, 64, 65, 66, 66, 68, 69, 70, 70, 72, 72, 74, 75, 76, 77, 78, 79, 80, 81, 82, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100
OFFSET
1,3
COMMENTS
Note that A087979(n) is a balanced number (A020492), hence this sequence is well-defined. - Max Alekseyev, Oct 10 2024
For all n, a(n) <= n and a(n) divides A299822(n). - Max Alekseyev, Oct 11 2024
EXAMPLE
While A088830 includes special balanced numbers, A087979 does not include per definition. Nevertheless, it seems that A087979 consists only of balanced numbers. This is provable at least for special cases.
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Nov 17 2003
EXTENSIONS
a(24)-a(35) from Amiram Eldar, Dec 05 2019 (calculated from the data at A087979)
Terms a(36) onward from Max Alekseyev, Oct 10 2024
STATUS
approved