A001776 Dimensions of the Jordan operad. (Formerly M2906 N1167)

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

Offset

1,3

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

Table of n, a(n) for n=1..8.

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.

Crossrefs

Sequence in context: A370514 A330041 A125696 * A261001 A207556 A180875

Adjacent sequences: A001773 A001774 A001775 * A001777 A001778 A001779

Keyword

nonn,nice,more

Author

N. J. A. Sloane

Extensions

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

Status

approved