A162954 a(n) = the smallest positive integer not yet occurring in the sequence such that both a(n) and the number of divisors of a(n) contain the same number of 1's in their binary representations as n has when written in binary.

1, 2, 9, 8, 12, 18, 448, 128, 20, 36, 704, 48, 832, 1216, 720, 32768, 68, 72, 1296, 80, 1344, 1600, 900, 96, 2240, 2368, 1200, 2624, 1584, 2352, 414720, 2147483648, 132, 160, 3136, 260, 4288, 4416, 2448, 272, 4672, 5184, 2704, 6208, 3600, 4400, 640000

Offset

1,2

Comments

Rearrangement of A162952. [From Max Alekseyev, Apr 29 2010]

Links

Table of n, a(n) for n=1..47.

Formula

a(2^n) = 2^(2^n - 1) [From Max Alekseyev, Apr 29 2010]

Crossrefs

A162952

Sequence in context: A155909 A069815 A215025 * A357993 A129194 A300780

Adjacent sequences: A162951 A162952 A162953 * A162955 A162956 A162957

Keyword

base,nonn

Author

Leroy Quet, Jul 18 2009

Extensions

More terms from Max Alekseyev, Apr 29 2010

Status

approved