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%I #30 Feb 20 2024 10:23:52
%S 1,1,1,1,1,3,31,315434
%N Number of 2^n-page booklets that can be made with n folds.
%C 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.
%H Matthew Scroggs, <a href="https://www.mscroggs.co.uk/blog/106">Zines</a>.
%H Matthew Scroggs, <a href="https://github.com/mscroggs/zines/tree/main">Python script to generate sequence</a>.
%e 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.
%K nonn,hard,more
%O 0,6
%A _Matthew Scroggs_, Nov 02 2023