A192853 Places n such that the two remainders A187680(n) and A191906(n) are both zero.

6, 28, 120, 270, 496, 672, 924, 1320, 3948, 7980, 8128, 10920, 12690, 15456, 18018, 25296, 27930, 29190, 30240, 30294, 32760, 35640, 52080, 55692, 61770, 69936, 76986, 83160, 83580, 86814, 106950, 127218, 130200, 131040, 141360, 155610

Offset

1,1

Comments

The even perfect numbers (A000396) are a subsequence.

Links

Robert Israel, Table of n, a(n) for n = 1..214

Maple

filter:= proc(n) local Q, p, s;
  Q:= numtheory:-divisors(n) minus {n};
  p:= convert(Q, `*`); s:= convert(Q, `+`);
  p mod s = 0 and (p * n ) mod (s + n ) = 0
end proc:
select(filter, [$2..2*10^5]); # Robert Israel, Apr 22 2025

Crossrefs

Cf. A000396, A145551, A187680, A191906

Sequence in context: A183016 A282775 A325808 * A027598 A183013 A325639

Adjacent sequences: A192850 A192851 A192852 * A192854 A192855 A192856

Keyword

nonn

Author

Juri-Stepan Gerasimov, Jul 11 2011

Status

approved