A383182 a(n) = 2^n - A129629(n+1).

0, 1, 1, 1, 2, 1, 1, 5, 1, 1, 9, 1, 4, 16, 1, 1, 33, 11, 1, 65, 1, 1, 142, 1, 8, 257, 1, 35, 513, 1, 1, 1038, 67, 1, 2049, 1, 1, 4220, 39, 1, 8192, 1, 259, 16385, 1, 71, 32769, 515, 1, 65550, 1, 1, 132211, 1, 1, 262145, 1, 2051, 524302, 263, 32, 1048577, 4096, 1, 2097153, 1, 519, 4202480, 1, 1

Offset: 0

Author

M. F. Hasler, May 27 2025

Keywords

• nonn

Comments

We observe that 2^(n-1) - A129629(n) often equals 1, and otherwise this difference is often the sum of only one or two distinct powers of two.

Crossrefs

Cf. A129629.

Programs

PARI

A383182(n)=2^n-A129629(n+1)