A176336
Total number of configurations that appear in the cycles, in the glass worms (or vers de verres) game with n glasses.
Original entry on oeis.org
1, 2, 5, 12, 33, 64, 237, 364, 1309, 2912, 7989, 10036, 80757, 88948, 226889, 732996, 2313981, 2445052, 19491205, 20015492, 114457609, 188499788, 270028737, 278417344
Offset: 1
A177101
The number of cycles in the Vers de Verres game, where 'worms' are transferred between 'cups' in a deterministic fashion. Because this defines a finite-state automaton, we know that every state eventually enters a cycle (or fixed point, which is essentially a cycle of length 1). The number of 'cups' (frequently called 'n') is a parameter for this automaton, and so we count the cycles (and fixed points) with respect to n.
Original entry on oeis.org
1, 2, 4, 7, 13, 14, 20
Offset: 1
For n=4, there are seven cycles: {0300,3000,0030}, {3300,3003,0330}, {0200,2000}, {3330}, {2200}, {1000}, {0000}. Note that four of these are "inherited" from n=3, as described above.
Fixed error in sequence. Added small amount of formatting changes and elaboration. -
Kellen Myers, May 03 2010
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