cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

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

Original entry on oeis.org

4, 12, 49, 220, 1014
Offset: 3

Views

Author

Jonathan Vos Post, Nov 25 2008

Keywords

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

Crossrefs

Cf. A000373, A090750, A118641.

Extensions

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

A118127 Number of quasigroups of order <= n.

Original entry on oeis.org

1, 2, 3, 8, 43, 1454, 1131985, 12199587820, 2697830531268481, 15224736759268778589978, 2750892227033887206264514123491
Offset: 1

Views

Author

Jonathan Vos Post, May 12 2006

Keywords

Comments

A quasigroup is a groupoid G such that for all a and b in G, there exist unique c and d in G such that ac = b and da = b. Hence a quasigroup is not required to have an identity element, nor be associative. Equivalently, one can state that quasigroups are precisely groupoids whose multiplication tables are Latin squares (possibly empty).

Examples

			a(10) = 2750892227033887206264514123491 = 1 + 1 + 1 + 5 + 35 + 1411 + 1130531 + 12198455835 + 2697818331680661 + 15224734061438247321497 + 2750892211809150446995735533513.

Links

Crossrefs

Cf. A002860, A057991-A057994, A057771, A057996, A118641.

Formula

a(n) = SUM[i=0..n] A057991(i).
Showing 1-2 of 2 results.

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