A339938 Odd non-coreful abundant numbers: the odd terms of A308127.

15015, 19635, 21945, 23205, 25935, 26565, 31395, 33495, 33915, 35805, 39585, 41055, 42315, 42735, 45885, 47355, 49665, 50505, 51765, 54285, 55965, 58695, 61215, 64155, 68145, 70455, 72345, 75075, 77385, 80535, 82005, 83265, 84315, 91245, 95865, 102795, 105105

Offset

1,1

Comments

First differs from A112643, A129485 and A249263 at n = 28.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

15015 is a term since it is odd and the sum of its non-coreful divisors is A308135(15015) = 17241 > 15015.

Mathematica

f[p_, e_] := (p^(e + 1) - 1)/(p - 1); fc[p_, e_] := f[p, e] - 1; s[1] = 0; s[n_] := Times @@ (f @@@ FactorInteger[n]) - Times @@ (fc @@@ FactorInteger[n]); Select[Range[1, 10^5, 2], s[#] > # &]

Crossrefs

Intersection of A005408 and A308127.

Cf. A308135.

Similar sequences: A005231, A094889, A112643, A127666, A129485, A249263, A293186, A321147, A333950.

Sequence in context: A165614 A104875 A046391 * A112643 A129485 A360526

Adjacent sequences: A339935 A339936 A339937 * A339939 A339940 A339941

Keyword

nonn

Author

Amiram Eldar, Dec 23 2020

Status

approved