A386248 a(n) is the unique integer k such that A161792(n) = k^A000120(A161792(n)).

1, 2, 4, 8, 3, 16, 32, 6, 64, 128, 12, 256, 512, 24, 3, 1024, 2048, 48, 4096, 8192, 96, 16384, 32768, 192, 6, 65536, 131072, 384, 262144, 524288, 768, 1048576, 2097152, 1536, 12, 4194304, 3, 8388608, 3072, 3, 16777216, 33554432, 6144, 67108864, 134217728

Offset: 1

Author

Rémy Sigrist, Jul 16 2025

Keywords

• nonn
• base

Examples

			For n = 11: A161792(11) = 144 = 12^2 = 12^A000120(144), so a(11) = 12.
		

Crossrefs

Cf. A000120, A113315, A161792, A386249.

Programs

PARI

{ for (n = 1, 2^27, if (ispower(n, hammingweight(n), &r), print1 (r", "););); }