A357237 Number of compositions (ordered partitions) of n into distinct parts of the form 2^j - 1.

1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 6, 0, 0, 0, 1, 2, 0, 2, 6, 0, 0, 2, 6, 0, 6, 24, 0, 0, 0, 0, 1, 2, 0, 2, 6, 0, 0, 2, 6, 0, 6, 24, 0, 0, 0, 2, 6, 0, 6, 24, 0, 0, 6, 24, 0, 24, 120, 0, 0, 0, 0, 0, 1, 2, 0, 2, 6, 0, 0, 2, 6, 0, 6, 24, 0, 0, 0, 2, 6, 0, 6, 24, 0, 0, 6, 24

Offset: 0

Author

Ilya Gutkovskiy, Sep 19 2022

Keywords

• nonn

Comments

Let b(n) the number of parts in partitions of n into distinct parts of the form 2^j-1, then a(n) = factorial(b(n)).

Links

• Index entries for sequences related to compositions

Crossrefs

Cf. A000929, A079559, A093659, A104977.