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.

A003920 Order of universal Chevalley group B_n (3).

Original entry on oeis.org

24, 51840, 9170703360, 131569513308979200, 152915585868239728626892800, 14395932257291877030764312963579904000, 109777561863482259035023554842176139436811616256000
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. A003921, A003922, A003924, A003925, A003926, A003927, A071302, A132037.

Programs

  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[3, n], {n, 1, 7}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = B(3,n) where B(q,n) = q^(n^2) * Product_{k=1..n}(q^(2*k)-1). - Sean A. Irvine, Sep 22 2015
a(n) = 2*A003927(n). - Amiram Eldar, Jun 23 2025
a(n) ~ c * 3^(2*n^2+n), where c = A132037. - Amiram Eldar, Jul 09 2025

A003921 Order of universal Chevalley group B_n (4).

Original entry on oeis.org

60, 979200, 4106059776000, 4408780839651901440000, 1211875293642881119668928512000000, 85278137430613949474674174708223909560320000000
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. A003920, A003922, A003924, A003925, A003926.

Programs

  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[4, n], {n, 1, 6}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = B(4,n) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015
a(n) ~ c * 4^(2*n^2+n), where c = Product_{k>=1} (1-1/16^k) = 0.933594707399... . - Amiram Eldar, Jul 09 2025

A003922 Order of universal Chevalley group B_n (5).

Original entry on oeis.org

120, 9360000, 457002000000000, 13946558535000000000000000, 266009466302345390625000000000000000000, 3171079936179764469273010253906250000000000000000000000
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. A003920, A003921, A003924, A003925, A003926.

Programs

  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[5, n], {n, 1, 6}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = B(5,n) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015
a(n) ~ c * 5^(2*n^2+n), where c = Product_{k>=1} (1-1/25^k) = 0.958400102563... . - Amiram Eldar, Jul 09 2025

A003924 Order of universal Chevalley group B_n (7).

Original entry on oeis.org

336, 276595200, 546914437209907200, 2596509480922336727312302080000, 29597339316082819652234687848790174733434880000, 810042101621990387485449491667484171676631766280916065845248000000
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. A003920, A003921, A003922, A003925, A003926.

Programs

  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[7, n], {n, 1, 6}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = B(7,n) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015
a(n) ~ c * 7^(2*n^2+n), where c = Product_{k>=1} (1-1/49^k) = 0.979175347148... . - Amiram Eldar, Jul 09 2025

Extensions

a(6) from Sean A. Irvine, Sep 22 2015
Offset corrected by Amiram Eldar, Jun 23 2025

A003925 Order of universal Chevalley group B_n (8).

Original entry on oeis.org

504, 1056706560, 9077005607176765440, 319368723699461283992462111539200, 46025883638628966977843321053405598530493271244800, 27168886279544618607869530961362524544707830196725394137207827070976000
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. A003920, A003921, A003922, A003924, A003926.

Programs

  • Mathematica
    B[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}]; Table[B[8, n], {n, 1, 6}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = B(8,n) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015
a(n) ~ c * 8^(2*n^2+n), where c = Product_{k>=1} (1-1/64^k) = 0.984130860306... . - Amiram Eldar, Jul 09 2025

Extensions

a(6) from Sean A. Irvine, Sep 22 2015
Showing 1-5 of 5 results.

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

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