A376874 a(n) = A376877(n) / p where p is the largest prime factor of A376877(n).

6, 20, 28, 88, 104, 272, 304, 550, 650, 368, 464, 496, 1184, 1312, 1376, 1504, 1696, 1888, 1952, 11132, 4288, 4544, 4672, 5056, 5312, 5696, 6208, 6464, 6592, 6848, 6976, 7232, 8128, 16768, 17536, 17792, 19072, 19328, 20096, 20864, 21376, 22144, 22912, 23168, 24448

Offset

1,1

Comments

Apparently a subset of A006039 and of A180332.

It seems that the terms are abundant numbers unless p is a Mersenne prime; in that case they are perfect numbers (unproved).

Terms a(1)-a(59) are each divisible by the corresponding p, and many of those quotients are powers of 2.

Links

Peter Luschny and Michael S. Branicky, Table of n, a(n) for n = 1..59

Maple

a := proc(n) A376877(n); % / max(NumberTheory:-PrimeFactors(%)) end:
seq(a(n), n = 1..45);

Crossrefs

Cf. A376877, A006039, A180332, A023196, A083207.

Sequence in context: A006036 A378530 A308710 * A242341 A140738 A325593

Adjacent sequences: A376871 A376872 A376873 * A376875 A376876 A376877

Keyword

nonn

Author

Peter Luschny and Michael S. Branicky, Oct 27 2024

Status

approved