A138597 Odd numbers k such that Hamming weight of k equals Hamming weight of k^3.

1, 56953, 1830651, 5502457, 130002327, 2941876987, 3479043677, 3674103727, 10601496029, 12739098539, 29928193915, 93415397243, 111392161401, 532403822507, 893286088059, 1039374483323

Offset: 1

Author

Martin Raab, May 13 2008

Keywords

• nonn
• base
• more

Comments

This sequence is A118655 without the trivial examples k*2^n.

a(17) > 2^40. - Donovan Johnson, May 05 2012

Crossrefs

Cf. A000120, A118655.

Cf. A363799 (Hamming weight(k) > Hamming weight(k^3)).

Programs

PARI

isok(k) = (k%2) && (hammingweight(k) == hammingweight(k^3)); \\ Michel Marcus, Jul 31 2023

Formula

A000120(a(n)) = A000120(a(n)^3) with a(n) odd

Extensions

a(14)-a(16) from Donovan Johnson, May 05 2012