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.

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

A124900 Largest order of any solvable transitive Galois group for an irreducible polynomial of degree n.

Original entry on oeis.org

1, 2, 6, 24, 20, 72, 42, 1152, 1296, 800, 110, 82944, 156, 3528, 155520, 7962624, 272, 2239488, 342, 159252480, 11757312, 225280, 506, 13759414272, 64000000, 1277952, 13060694016, 192631799808, 812, 48372940800
Offset: 1

Views

Author

Artur Jasinski, Nov 12 2006

Keywords

Comments

These transitive groups are in classification of MAGMA:
a(1)=1T1,a(2)=2T1,a(3)=3T2,a(4)=4T5,a(5)=5T3,a(6)=6T13,
a(7)=7T4,a(8)=8T47,a(9)=9T31,a(10)=10T33,a(11)=11T4,
a(12)=12T294,a(13)=13T6,a(14)=14T45,a(15)=15T87,
a(16)=16T1947,a(17)=17T5,a(18)=18T945,a(19)=19T6,
a(20)=20T1067,a(21)=21T142,a(22)=22T37,a(23)=23T5,
a(24)=24T24921,a(25)=25T179,a(26)=26T79,a(27)=27T2372,
a(28)=28T1773,a(29)=29T6,a(30)=30T5358.
Conjecture: The sequence a(prime(n)), which begins 2, 6, 20, 42, 110, 156, 272, 342, 506, 812, increases without bound. It appears that a(prime(n)) may equal prime(n)(prime(n)-1), which is A036689. - Artur Jasinski, Feb 26 2011

Examples

			a(9)=1296 because solvable Galois group T9_31 (in MAGMA's list) has order 1296

Crossrefs

Cf. A099732, A124901, A186772.

Extensions

a(11)-a(30) from Artur Jasinski, Feb 26 2011

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.

A197954 Duplicate of A124903.

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, Oct 19 2011

Keywords

Crossrefs

Cf. A124901, A124902.
Showing 1-4 of 4 results.

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