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 1-10 of 18 results. Next

A062766 Number of nonisomorphic cyclic subgroups of general affine group AGL(n,2).

Original entry on oeis.org

2, 4, 6, 11, 16, 23, 32, 46, 62, 83, 114, 158, 212, 276, 351, 442, 562, 726, 933, 1191, 1498, 1876
Offset: 1

Views

Author

Vladeta Jovovic, Jul 17 2001

Keywords

Examples

			a(5)=16 because the set of orders of elements of AGL(5,2) is {1,2,3,4,5,6,7,8,10,12,14,15,21,28,30,31}.

Links

Crossrefs

Cf. A062710 (labeled case), A053651.

Extensions

a(13)-a(22) from Sean A. Irvine, Jan 11 2022

A063393 Number of solutions of x^10=1 in general affine group AGL(n,2).

Original entry on oeis.org

2, 10, 92, 23200, 21391520, 35841831040, 95709758320640, 6206883395497062400, 1502803598296957497344000, 654083813715060854940290252800, 450433384822340709737677746549555200
Offset: 1

Views

Author

Vladeta Jovovic, Jul 16 2001

Keywords

Links

Crossrefs

Cf. A063385-A063393, A062710, A053722, A053725, A053718, A053770-A053777.

A063385 Number of solutions of x^2=1 in general affine group AGL(n,2).

Original entry on oeis.org

2, 10, 92, 1696, 59552, 4124800, 556101632, 148425895936, 78099471368192, 81705857229783040, 169694608681978560512, 702657511446831375056896, 5797142351555426979908943872, 95500953266115919784543392890880, 3140561514292519005433439594146168832
Offset: 1

Views

Author

Vladeta Jovovic, Jul 16 2001

Keywords

Links

Crossrefs

Cf. A063386-A063393, A062710, A053722, A053725, A053718, A053770-A053777.

Extensions

More terms from Sean A. Irvine, Apr 23 2023

A063406 Number of cyclic subgroups of order 3 of general affine group AGL(n,2).

Original entry on oeis.org

0, 4, 112, 3136, 484096, 153545728, 72255188992, 169225143107584, 767806696376172544, 5846826552577416232960, 211692077904149369184059392, 14577670180222125357773973618688
Offset: 1

Views

Author

Vladeta Jovovic, Jul 17 2001

Keywords

Comments

Number of cyclic subgroups of order m in general affine group AGL(n,2) is 1/phi(m)*Sum_{d|m} mu(m/d)*b(n,d), where b(n,d) is number of solutions to x^d=1 in AGL(n,2).

Links

Crossrefs

Cf. A063406-A063413, A063385-A063393, A062710.

Formula

a(n) = (A063386(n)-1)/2.

A063413 Number of cyclic subgroups of order 10 of general affine group AGL(n,2).

Original entry on oeis.org

0, 0, 0, 0, 2666496, 8063483904, 23667221200896, 1546057323758223360, 374969260180817571741696, 163457085861840749434433961984, 112603564970401075916528447354044416, 152237556325944043707910988547266571141120, 824860715471760736216894023298196038268145893376
Offset: 1

Views

Author

Vladeta Jovovic, Jul 17 2001

Keywords

Comments

Number of cyclic subgroups of order m in general affine group AGL(n,2) is 1/phi(m)*Sum_{d|m} mu(m/d)*b(n,d), where b(n,d) is number of solutions to x^d=1 in AGL(n,2).

Links

Crossrefs

Cf. A063406-A063413, A063385-A063393, A062710.

Formula

a(n) = (A063393(n)-A063388(n)-A063385(n)+1)/4.

Extensions

More terms from Sean A. Irvine, Apr 23 2023

A063386 Number of solutions of x^3=1 in general affine group AGL(n,2).

Original entry on oeis.org

1, 9, 225, 6273, 968193, 307091457, 144510377985, 338450286215169, 1535613392752345089, 11693653105154832465921, 423384155808298738368118785, 29155340360444250715547947237377
Offset: 1

Views

Author

Vladeta Jovovic, Jul 16 2001

Keywords

Links

Crossrefs

Cf. A063385-A063393, A062710, A053722, A053725, A053718, A053770-A053777.

A063387 Number of solutions of x^4=1 in general affine group AGL(n,2).

Original entry on oeis.org

2, 16, 512, 45376, 8556032, 4883562496, 8980929708032, 42613515533418496, 486724235988568113152, 16895428758428581359517696, 1832013338159753885910032187392, 514041193283459103260028716172967936
Offset: 1

Views

Author

Vladeta Jovovic, Jul 16 2001

Keywords

Links

Crossrefs

Cf. A063385-A063393, A062710, A053722, A053725, A053718, A053770-A053777.

A063388 Number of solutions of x^5=1 in general affine group AGL(n,2).

Original entry on oeis.org

1, 1, 1, 21505, 10665985, 3583770625, 1040317415425, 22653952038273025, 2926557495587739009025, 255470267616151345324621825, 19124940736236376955275154817025, 1747866583310404907502405460766490625
Offset: 1

Views

Author

Vladeta Jovovic, Jul 16 2001

Keywords

Links

Crossrefs

Cf. A063385-A063393, A062710, A053722, A053725, A053718, A053770-A053777.

A063389 Number of solutions of x^6=1 in general affine group AGL(n,2).

Original entry on oeis.org

2, 18, 540, 75168, 35803296, 52295889024, 165440621998080, 1667054559389773824, 57054517078704967876608, 7229212455140774474869112832, 3089828410800189940613202019614720
Offset: 1

Views

Author

Vladeta Jovovic, Jul 16 2001

Keywords

Links

Crossrefs

Cf. A063385-A063393, A062710, A053722, A053725, A053718, A053770-A053777.

A063390 Number of solutions of x^7=1 in general affine group AGL(n,2).

Original entry on oeis.org

1, 1, 385, 46081, 3809281, 27335393281, 219971402072065, 1196544590358773761, 34605327838407410319361, 15221801372279275206853263361, 5309386094113063403935896849874945
Offset: 1

Views

Author

Vladeta Jovovic, Jul 16 2001

Keywords

Links

Crossrefs

Cf. A063385-A063393, A062710, A053722, A053725, A053718, A053770-A053777.
Showing 1-10 of 18 results. Next

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