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.

A003837 Order of (usually) simple Chevalley group D_n (3).

Original entry on oeis.org

1, 144, 6065280, 4952179814400, 1289512799941305139200, 6762844700608770238252960972800, 11470635634813395742481912276441576767488000, 393736985584514548835738283681336315795223487793070080000
Offset: 1

Views

Author

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.

Crossrefs

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[3, n], {n, 1, 8}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = d(3,n) where d(q,n) = D(q,n) / gcd(4, q^n-1) and D(q,n) as defined in A003830. - Sean A. Irvine, Sep 17 2015

Extensions

Fixed offset, one more term, and formula from Sean A. Irvine, Sep 17 2015

A003840 Order of (usually) simple Chevalley group D_n (9).

Original entry on oeis.org

2, 129600, 50759843097600, 129182006871144805294080000, 2154683673871373733440812330742751559680000, 235766858527753399707968381023024646011879419539171573760000000
Offset: 1

Views

Author

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.

Crossrefs

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[9, n], {n, 1, 8}] (* Amiram Eldar, Jun 24 2025 *)

Formula

a(n) = d(9,n) where d(q, n) is defined in A003837. - Sean A. Irvine, Sep 17 2015

Extensions

a(6) from Sean A. Irvine, Sep 17 2015

A003838 Order of (usually) simple Chevalley group D_n (5).

Original entry on oeis.org

1, 3600, 7254000000, 8911539000000000000, 6807663884896875000000000000000, 3246978048053003424316406250000000000000000000, 967724409898859060146424426078796386718750000000000000000000000
Offset: 1

Views

Author

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.

Crossrefs

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[5, n], {n, 1, 8}] (* Amiram Eldar, Jun 24 2025 *)

Formula

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

Extensions

a(7) from Sean A. Irvine, Sep 17 2015
Showing 1-3 of 3 results.