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 1-4 of 4 results.

A062710 Number of cyclic subgroups of general affine group over GF(2), AGL(n,2).

Original entry on oeis.org

2, 17, 590, 105824, 69300688, 194965719104, 2426497181267968, 177803451495373322240, 52976870608237776911450112, 110350007913361454793759188320256
Offset: 1

Views

Author

Vladeta Jovovic, Jul 13 2001

Keywords

Examples

			a(3) = 1/phi(1)+91/phi(2)+224/phi(3)+420/phi(4)+224/phi(6)+384/phi(7) = 590.

References

  • V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

Links

Crossrefs

Cf. A062250.

Formula

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

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

A062552 Number of cyclic subgroups of Chevalley group A_n(4) (the group of nonsingular n X n matrices over GF(4) ).

Original entry on oeis.org

2, 74, 37820, 332797040, 42906753609728, 96807463594555409408, 3287060262175777407524421632, 1849558511978449242738396356403003392, 16381469636294717667541649667987962803817283584, 2439141663752697521176587375190791943802198154311477755904
Offset: 1

Views

Author

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

Keywords

Crossrefs

Cf. A062250, A058502, A053291, A053660.

Formula

a(n) = Sum_{d} |{g element of A_n(4): 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
More terms from Sean A. Irvine, Aug 07 2022

A047052 Number of Abelian 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, 93, 11449, 4709398, 23380019770
Offset: 1

Views

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 18 2001

Keywords

Crossrefs

Cf. A062250, A062240.

Programs

  • Magma
    [&+[s`length : s in AbelianSubgroups(GL(n,2))] : n in [1..6]];  // Robin Visser, Aug 14 2023

Extensions

a(5)-a(6) from Robin Visser, Aug 14 2023
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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