A001776 Dimensions of the Jordan operad.

1, 1, 3, 11, 55, 330, 2345, 19089, 175203, 1785840

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• nice
• more

Comments

These are the dimensions of the multi-linear subspaces in the free Jordan algebras on n generators. - F. Chapoton, Jun 27 2023

References

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

Links

• C. M. Glennie, Identities in Jordan algebras [Annotated scanned copy]
• Vladimir Dotsenko and Iryna Kashuba, The three graces in the Tits-Kantor-Koecher category, arXiv:2310.20635 [math.KT], 2023.

Extensions

Name edited and a(8) computed by V. Dotsenko (private comm.) added by F. Chapoton, Jun 27 2023

Terms a(9) and a(10) computed by I. Hentzel (private comm.) added by Vladimir Dotsenko, Mar 23 2025