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Dimensions of the Jordan operad.
(Formerly M2906 N1167)
1

%I M2906 N1167 #35 Nov 18 2024 15:59:56

%S 1,1,3,11,55,330,2345,19089

%N Dimensions of the Jordan operad.

%C These are the dimensions of the multi-linear subspaces in the free Jordan algebras on n generators. - _F. Chapoton_, Jun 27 2023

%D C. M. Glennie, Identities in Jordan algebras, pp. 307-313 of J. Leech, editor, Computational Problems in Abstract Algebra. Pergamon, Oxford, 1970.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H C. M. Glennie, <a href="/A001776/a001776.pdf">Identities in Jordan algebras</a> [Annotated scanned copy]

%H Vladimir Dotsenko and Iryna Kashuba, <a href="https://arxiv.org/abs/2310.20635">The three graces in the Tits-Kantor-Koecher category</a>, arXiv:2310.20635 [math.KT], 2023.

%H Bo Yang, Qingping Yang, and Runtao Liu, <a href="https://arxiv.org/abs/2411.07240">UTMath: Math Evaluation with Unit Test via Reasoning-to-Coding Thoughts</a>, arXiv:2411.07240 [cs.CL], 2024. See p. 11.

%K nonn,nice,more

%O 1,3

%A _N. J. A. Sloane_

%E Name edited and a(8) computed by V. Dotsenko (private comm.) added by _F. Chapoton_, Jun 27 2023