A326132 Numbers n for which A294898(n) is not zero and A294898(n) divides A000120(n); numbers for which A326130(n) = abs(A294898(n)).

5, 6, 7, 14, 15, 28, 44, 52, 110, 152, 184, 496, 592, 884, 1012, 1155, 2144, 2272, 8128, 8384, 12008, 18632, 18904, 33664, 63248, 70564, 85936, 100804, 116624, 318250, 527872, 1090912, 1360810, 1503370, 1788490, 2085710, 2102272, 3477608, 4495808, 8394752, 15370304, 16102808, 26347688, 29322008, 33550336, 73995392

Offset: 1

Author

Antti Karttunen, Jun 11 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..52; all terms < 2^31
• Index entries for sequences related to binary expansion of n
• Index entries for sequences where any odd perfect numbers must occur
• Index entries for sequences related to sigma(n)

Crossrefs

Cf. A000360, A326131 (subsequences), A326133.

Cf. A000120, A000203, A005187, A294898, A295296.

Programs

PARI

A005187(n) = { my(s=n); while(n>>=1, s+=n); s; };
isA326132(n) = { my(t=sigma(n)-A005187(n)); (gcd(hammingweight(n), t) == abs(t)); };