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Number of all-small normal play partisan games born on or before day n.
1

%I #11 Aug 11 2015 12:14:47

%S 1,2,7,67,534483

%N Number of all-small normal play partisan games born on or before day n.

%C A game is all-small if it and all its followers other than 0 have options for both players, or equivalently (under normal play rules) if it and all its followers are infinitesimal. "All-small" is the traditional term, although Aaron Siegel prefers "dicotic", attributed to Michael Weimerskirch.

%C The all-small games born by day n form a distributive lattice if additional minimal and maximal elements are added.

%C The values up to a(4) are due to Aaron Siegel, computed using cgsuite.

%D Aaron N. Siegel, Combinatorial Game Theory, AMS Graduate Texts in Mathematics Vol 146 (2013), p. 158.

%H David Wolfe, <a href="http://library.msri.org/books/Book56/files/13wolfe.pdf">On day n</a>, pp. 125-131 in Games of No Chance 3, MSRI Publications 56, Cambridge, 2009.

%Y Cf. A065401 (all games), A260967 (infinitesimal games).

%K nonn,more

%O 0,2

%A _Christopher E. Thompson_, Aug 06 2015