A152123 3^a(n) is the order of the free commutative Moufang loop of exponent 3 on n generators.

4, 12, 49, 220, 1014

Offset: 3

Author

Jonathan Vos Post, Nov 25 2008

Keywords

• nonn
• more

References

• Yu. I. Manin, Cubic forms, Amsterdam: North-Holland, 1979.
• Yu. I. Manin, Cubic Forms, Second edition, North-Holland Publishing Co., Amsterdam, 1986, page 312. MR0833513 (87d:11037)

Links

• Alexander N. Grishkov and Ivan P. Shestakov, Commutative Moufang loops and alternative algebras, arXiv:0811.3787 [math.RA], 2008.
• Marina Rasskazova, Alexandre Grichkov and Henrique Guzzo, Commutative Moufang loops and cubic hypersurface, 32o Colóquio Brasileiro de Matemática, IMPA, 2019.
• Jonathan D. H. Smith, Commutative Moufang loops and Bessel functions, Invent. Math. 67 (1982), no. 1, 173-187.

Crossrefs

Cf. A000373, A090750, A118641.

Extensions

Definition changed and a(7) changed by Andrey Zabolotskiy, Sep 28 2021