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 1-3 of 3 results.

A058502 Number of cyclic subgroups of Chevalley group A_n(3) (the group of nonsingular n X n matrices over GF(3)).

Original entry on oeis.org

2, 28, 3592, 4375990, 45881030476, 4761512868259324, 4226568802536503453176, 33913358590726454284540553032, 2539147871121449320978174414096629904, 1751590210907807486213696422942566723118774192, 10257642878603441540313639499316772578643776243183698528
Offset: 1

Views

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 02 2001

Keywords

Links

Crossrefs

Cf. A053658 (unlabeled case), A062250, A062552, A053290.

Formula

a(n) = Sum_{d} |{g element of A_n(3): order(g)=d}| / phi(d), where phi is the Euler totient function. - Sean A. Irvine, Aug 07 2022

Extensions

More terms from Vladeta Jovovic, Jul 05 2001
a(6)-a(7) corrected and more terms from Sean A. Irvine, Aug 07 2022

A062250 Number of cyclic subgroups of Chevalley group A_n(2) (the group of nonsingular n X n matrices over GF(2) ).

Original entry on oeis.org

1, 5, 79, 6974, 2037136, 2890467344, 14011554132032, 325330342132674560, 27173394819858612320256, 10158190320726534408118452224, 13156630408268153048253765001412608, 80280189722884518774834501142737770774528
Offset: 1

Views

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 01 2001

Keywords

Examples

			a(3) = 1/phi(1)+21/phi(2)+56/phi(3)+42/phi(4)+48/phi(7) = 79.

References

  • V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

Links

Crossrefs

Cf. A053651 (unlabeled case), A053658, A053660, A053718, A053722, A053725, A053771-A053777, A058502, A062552, A062240.

Formula

a(n) = Sum_{d} |{g element of A_n(2): order(g)=d}|/phi(d), where phi=Euler totient function, cf. A000010.

Extensions

More terms from Vladeta Jovovic, Jul 04 2001

A062315 Number of cyclic subgroups of the group SL(n,4) (the group of nonsingular n X n matrices over GF(4) with determinant 1 ).

Original entry on oeis.org

1, 32, 13724, 123501944
Offset: 1

Views

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 05 2001

Keywords

Crossrefs

Cf. A062552.
Showing 1-3 of 3 results.

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