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 1-5 of 5 results.

A003854 Order of simple Chevalley group D_8(q), q = prime power.

Original entry on oeis.org

911666827031785075278550369566720000, 393736985584514548835738283681336315795223487793070080000, 1649493899207759406688161287839326786813727965837588934265143296000000000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.
  • H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

Links

Crossrefs

Cf. A000961, A003808, A003837, A003848, A003850, A003851, A003852, A003853.

Programs

  • Mathematica
    d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}] / GCD[4, q^n-1]; Table[d[q, 8], {q, Select[Range[10], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = d(A000961(n+1),8) where d(q,n) is defined in A003837. - Sean A. Irvine, Sep 17 2015

Extensions

More terms from Sean A. Irvine, Sep 17 2015

A003850 Order of simple Chevalley group D_4(q), q = prime power.

Original entry on oeis.org

174182400, 4952179814400, 67010895544320000, 8911539000000000000, 112554991177798901760000, 19031213036231093492121600, 129182006871144805294080000, 35749625435272978955066880000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.
  • H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

Links

Crossrefs

Cf. A000961, A003808, A003837, A003848, A003851, A003852, A003853, A003854.

Programs

  • Mathematica
    d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}] / GCD[4, q^n-1]; Table[d[q, 4], {q, Select[Range[20], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = d(A000961(n+1),4) where d(q,n) is defined in A003837. - Sean A. Irvine, Sep 17 2015

A003851 Order of simple Chevalley group D_5(q), q = prime power.

Original entry on oeis.org

23499295948800, 1289512799941305139200, 1154606796534757164318720000, 6807663884896875000000000000000, 52386144472825139642572263782154240000, 42863636354909175368011800612065142374400, 2154683673871373733440812330742751559680000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.
  • H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

Links

Crossrefs

Cf. A000961, A003808, A003837, A003848, A003850, A003852, A003853, A003854.

Programs

  • Mathematica
    d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}] / GCD[4, q^n-1]; Table[d[q, 5], {q, Select[Range[20], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = d(A000961(n+1),5) where d(q,n) is defined in A003837. - Sean A. Irvine, Sep 17 2015

Extensions

More terms from Sean A. Irvine, Sep 17 2015

A003852 Order of simple Chevalley group D_6(q), q = prime power.

Original entry on oeis.org

50027557148216524800, 6762844700608770238252960972800, 5081732431326820541485324550799360000000, 3246978048053003424316406250000000000000000000, 14630778277213500974314928221817819519899234908241920000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.
  • H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

Links

Crossrefs

Cf. A000961, A003808, A003837, A003848, A003850, A003851, A003853, A003854.

Programs

  • Mathematica
    d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}] / GCD[4, q^n-1]; Table[d[q, 6], {q, Select[Range[20], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = d(A000961(n+1),6) where d(q,n) is defined in A003837. - Sean A. Irvine, Sep 17 2015

Extensions

a(5) from Sean A. Irvine, Sep 17 2015

A003853 Order of simple Chevalley group D_7(q), q = prime power.

Original entry on oeis.org

1691555775522928280469504000, 11470635634813395742481912276441576767488000, 5722569627753465177061732369386833143098255605760000000, 967724409898859060146424426078796386718750000000000000000000000, 39242041156758982253792290541798244252619818128923898602839750047956992000000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.
  • H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

Links

Crossrefs

Cf. A003846. - R. J. Mathar, Oct 28 2008
Cf. A000961, A003808, A003837, A003848, A003850, A003851, A003852, A003854.

Programs

  • Mathematica
    d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}] / GCD[4, q^n-1]; Table[d[q, 7], {q, Select[Range[10], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = d(A000961(n+1),7) where d(q,n) is defined in A003837. - Sean A. Irvine, Sep 17 2015

Extensions

More terms from Sean A. Irvine, Sep 17 2015
Showing 1-5 of 5 results.

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

Content is available under The OEIS End-User License Agreement.