A094543 Smallest perfect power of n containing n in binary representation.

0, 1, 4, 27, 16, 125, 216, 343, 64, 729, 1000, 161051, 1728, 28561, 2744, 3375, 256, 4913, 5832, 47045881, 8000, 85766121, 5153632, 12167, 13824, 9765625, 11881376, 729, 21952, 24389, 27000, 29791, 1024, 35937, 39304, 1838265625

Offset

0,3

Comments

a(n) = n^A086063(n).

Links

Table of n, a(n) for n=0..35.

Example

n=30='11110' is not contained in 30^2 = 900 = '1110000100' but in
a(3) = 30^3 = 27000 = '110100101111000'.

Crossrefs

Cf. A007088.

Sequence in context: A365636 A345311 A125723 * A136511 A218362 A108138

Adjacent sequences: A094540 A094541 A094542 * A094544 A094545 A094546

Keyword

nonn

Author

Reinhard Zumkeller, May 08 2004

Status

approved