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

0,5

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

Table of n, a(n) for n=0..86.

Index entries for sequences related to compositions

Crossrefs

Cf. A000929, A079559, A093659, A104977.

Sequence in context: A317581 A359865 A035217 * A277808 A105964 A303051

Adjacent sequences: A357234 A357235 A357236 * A357238 A357239 A357240

Keyword

nonn

Author

Ilya Gutkovskiy, Sep 19 2022

Status

approved