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%I #3 Jun 29 2008 03:00:00
%S 0,3,7,10,18
%N Categorical sequence for the Lie group Sp(k) for any k > 2.
%C The categorical sequence for a CW complex X is the sequence whose n-th term is the smallest m for which the Lusternik-Schnirelmann category of the m-skeleton is equal to n (or else infinity if there is no such m).
%C All categorical sequences begin with a_0 = 0. It can be shown that for all categorical sequences, a_{k+l} >= a_k + a_l.
%D Cornea, Octav; Lupton, Gregory; Oprea, John; Tanre, Daniel. Lusternik-Schnirelmann category. Mathematical Surveys and Monographs, 103. American Mathematical Society, Providence, RI, 2003.
%D R. Nendorf, N. Scoville, J. Strom, Categorical Sequences, preprint, 2004.
%F No known formula.
%K hard,nonn
%O 0,2
%A Jeff Strom (Jeff.Strom(AT)wmich.edu), Sep 08 2004