A357237 - OEIS

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

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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