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.

A060246 Triangle whose rows are the degrees of the irreducible representations of the groups PSL(2,p) as p runs through the primes.

Original entry on oeis.org

1, 1, 2, 1, 1, 1, 3, 1, 3, 3, 4, 5, 1, 3, 3, 6, 7, 8, 1, 5, 5, 10, 10, 11, 12, 12, 1, 7, 7, 12, 12, 12, 13, 14, 14, 1, 9, 9, 16, 16, 16, 16, 17, 18, 18, 18, 1, 9, 9, 18, 18, 18, 18, 19, 20, 20, 20, 20, 1, 11, 11, 22, 22, 22, 22, 22, 23, 24, 24, 24, 24, 24, 1, 15, 15, 28, 28, 28, 28, 28
Offset: 1

Views

Author

N. J. A. Sloane, Mar 22 2001

Keywords

Examples

			1,1,2; 1,1,1,3; 1,3,3,4,5; ... (for q=2,3,5,...).

References

  • J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.

Links

Crossrefs

Row length sequence is A124678.
Consecutive row sequences from 3rd to 11th are: A003860, A003879, A003882, A003883, A003885, A003886, A003887, A003890, A003891.
Cf. A060247, A060240, A060241.

Programs

  • Magma
    CharacterTable(PSL(2,7)); (say)
  • Magma
    &cat[[Degree(irred): irred in CharacterTable(PSL(2, p))]: p in PrimesUpTo(30)];

Extensions

Extended by Jason Kimberley, May 23 2010

A124679 a(n) = number of conjugacy classes in PSL_3(prime(n)).

Original entry on oeis.org

6, 12, 30, 22, 132, 64, 306, 130, 552, 870, 334, 472, 1722, 634, 2256, 2862, 3540, 1264, 1522, 5112, 1804, 2110, 6972, 8010, 3172, 10302, 3574, 11556, 4000, 12882, 5422, 17292, 18906, 6490, 22350, 7654, 8272, 8914, 28056, 30102, 32220, 10984
Offset: 1

Views

Author

N. J. A. Sloane, Dec 25 2006

Keywords

Links

Crossrefs

Cf. A000702, A006951, A124678.

Programs

  • Magma
    A124679 := func< n | NumberOfClasses(PSL(3,NthPrime(n))) >;

Extensions

a(7) to a(14) from Klaus Brockhaus, Dec 26 2006
a(15)..a(54) appended, from running MAGMA for 7 processor days at U. Newcastle, by Jason Kimberley, Feb 25 2011.
a(65)=32764 added to a124679.txt by Jason Kimberley, Mar 28 2011.

A124681 a(n) = number of conjugacy classes in PSL_4(prime(n)).

Original entry on oeis.org

14, 29, 49, 217, 757, 613, 1327, 3661, 6409, 6349, 15457, 13057, 17707, 40789, 53137, 37993, 104581, 57757, 152797
Offset: 1

Views

Author

N. J. A. Sloane, Dec 25 2006

Keywords

Crossrefs

Cf. A000702, A006951, A124679, A124678.

Programs

  • Magma
    A124681 := func< n | NumberOfClasses(PSL(4,NthPrime(n))) >;

Extensions

a(5) and a(6) from Klaus Brockhaus, Dec 26 2006 and Oct 09 2010
a(7)..a(14) appended, from running MAGMA for 32 processor hours at U. Newcastle, by Jason Kimberley, Feb 09 2011.
a(15)-a(19) from Robin Visser, Oct 01 2023

A177744 Number of conjugacy classes in PSL_2(q) as q runs through the primes and prime powers.

Original entry on oeis.org

3, 4, 5, 5, 6, 9, 7, 8, 9, 17, 11, 12, 14, 15, 16, 17, 18, 33, 21, 23, 24, 26, 27, 29, 32, 33, 65, 36, 38, 39, 42, 43, 44, 47, 51, 53, 54, 56, 57, 59, 63, 65, 66, 129, 68, 71, 72, 77, 78, 81, 84, 86, 87, 89, 92, 93, 98, 99, 101, 102, 108, 114, 116, 117, 119, 122, 123, 124, 128
Offset: 1

Views

Author

Jason Kimberley, May 22 2010

Keywords

Crossrefs

q = A000961(n+1).
This is the row length sequence for A060247.
Cf. A124678.

Programs

  • Magma
    [ NumberOfClasses(PSL(2,q)):q in [2..251] | IsPrimePower(q) ];
Showing 1-4 of 4 results.

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

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