A001417
Number of ways of folding a 2 X 2 X ... X 2 n-dimensional map.
Original entry on oeis.org
1, 2, 8, 96, 4608, 798720, 361267200, 362794844160
Offset: 0
- N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A001418
Number of ways of folding an n X n sheet of stamps.
Original entry on oeis.org
1, 8, 1368, 300608, 186086600, 123912532224, 129950723279272
Offset: 1
For n = 2 the a(2) = 8 foldings of a sheet labeled 1234 in reading order are 1243, 1342, 2134, 2431, 3124, 3421, 4213, 4312.
- N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A001416
Number of ways of folding a 3 X n strip of stamps.
Original entry on oeis.org
1, 6, 60, 1368, 15552, 201240, 2016432, 21582624, 201060768, 1944012744, 17257455960, 156760071600, 1346073913440, 11734199738820, 98420246759688
Offset: 0
- N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
- Robert Dickau, Stamp Folding, 2010.
- Hunter Hogan, mapFolding: A computational framework for enumerating distinct folding patterns of rectangular maps, GitHub repository, (2025).
- W. F. Lunnon, Multi-dimensional map-folding, The Computer Journal, Volume 14, Issue 1, 1971, Pages 75-80.
- Eric Weisstein's World of Mathematics, Map Folding.
- Index entries for sequences obtained by enumerating foldings
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