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.

A124902 n!/A124900(n).

Original entry on oeis.org

1, 1, 1, 1, 6, 10, 120, 35, 280, 4536, 362880, 5775, 39916800, 24710400, 8408400, 2627625, 1307674368000, 2858856000, 355687428096000, 15277011750, 4345461120000, 4989349821456000, 51090942171709440000, 45092646348750, 242362656927046656
Offset: 1

Views

Author

Artur Jasinski, Nov 12 2006

Keywords

Examples

			a(8) = 8!/1152 = 35 because the maximal order of solvable Galois group 8T47 is 1152.

Crossrefs

Cf. A124900, A124901, A124902, A124903.

A124901 Smallest order of any nonsolvable transitive Galois group for a polynomial of degree n.

Original entry on oeis.org

60, 60, 168, 168, 504, 60, 660, 60, 5616, 168, 60, 336, 4080, 180, 60822550204416000, 60, 168, 1320, 10200960, 120, 300, 5616, 1512, 168, 4420880996869850977271808000000, 60
Offset: 5

Views

Author

Artur Jasinski, Nov 12 2006

Keywords

Comments

These transitive groups are in MAGMA classification respectively:
a(5)=5T4, a(6)=6T12, a(7)=7T5, a(8)=8T37, a(9)=9T27,
a(10)=10T6, a(11)=11T5, a(12)=12T33, a(13)=13T7, a(14)=14T10,
a(15)=15T5, a(16)=16T713, a(17)=17T6, a(18)=18T90, a(19)=19T7,
a(20)=20T15, a(21)=21T14, a(22)=22T13, a(23)=23T4,
a(24)=24T201, a(25)=25T29, a(26)=26T39, a(27)=27T390,
a(28)=28T32, a(29)=28T7, a(30)=30T9.

Examples

			a(8)=336 because nonsolvable Galois group PGL(2,7)=L(8) has order 336.

Crossrefs

Cf. A124900, A186772.

Extensions

a(4) corrected and a(11)-a(30) by Artur Jasinski, Feb 26 2011

A124903 a(n) = n!/A124901(n).

Original entry on oeis.org

2, 12, 30, 240, 720, 60480, 60480, 7983360, 1108800, 518918400, 21794572800, 62270208000, 87178291200, 35568742809600, 2, 40548366802944000, 304112751022080000, 851515702861824000, 2534272925184000, 5170403347776995328000, 51704033477769953280000
Offset: 5

Views

Author

Artur Jasinski, Nov 12 2006

Keywords

Crossrefs

Cf. A124900, A124901, A124902.

Extensions

More terms from the data at A124901 added by Amiram Eldar, Mar 12 2020
Showing 1-3 of 3 results.

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