A367038 Number of 2^n-page booklets that can be made with n folds.

1, 1, 1, 1, 1, 3, 31, 315434

Offset

0,6

Comments

The number of ways that a piece of paper that's been folded in half n times can be cut and folded to make a booklet with 2^n pages. Rotations and reflections of a pattern are considered to be the same pattern.

Links

Table of n, a(n) for n=0..7.

Matthew Scroggs, Zines.

Matthew Scroggs, Python script to generate sequence.

Example

For n=5, there are a(5)=3 ways to fold a booklet with 2^5=32 pages. Diagrams showing these 3 ways are included at the first M. Scroggs link.

Crossrefs

Sequence in context: A297480 A282973 A005042 * A317482 A136582 A356516

Adjacent sequences: A367035 A367036 A367037 * A367039 A367040 A367041

Keyword

nonn,hard,more

Author

Matthew Scroggs, Nov 02 2023

Status

approved