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 1-7 of 7 results.

A003927 Order of simple Chevalley group B_n (3).

Original entry on oeis.org

25920, 4585351680, 65784756654489600, 76457792934119864313446400, 7197966128645938515382156481789952000, 54888780931741129517511777421088069718405808128000
Offset: 2

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A003920, A003938, A003939, A003940, A003941, A003942, A132037.

Programs

  • Mathematica
    b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[3, n], {n, 2, 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) / gcd(2, q-1). - Sean A. Irvine, Sep 22 2015
a(n) = A003920(n) / 2. - Amiram Eldar, Jun 23 2025
a(n) ~ c * 3^(2*n^2+n), where c = A132037. - Amiram Eldar, Jul 09 2025

A003938 Order of (usually) simple Chevalley group B_2(q), q = prime power.

Original entry on oeis.org

720, 25920, 979200, 4680000, 138297600, 1056706560, 1721606400, 12860654400, 68518981440, 1095199948800, 1004497044480, 3057017889600, 20674026236160, 47607300000000, 102804157834560, 210103196385600
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, A003927, A003939, A003940, A003941, A003942.

Programs

  • Mathematica
    b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 2], {q, Select[Range[30], PrimePowerQ]}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = b(A000961(n + 1), 2) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

A003940 Order of simple Chevalley group B_4(q), q = prime power.

Original entry on oeis.org

47377612800, 65784756654489600, 4408780839651901440000, 6973279267500000000000000, 1298254740461168363656151040000, 319368723699461283992462111539200
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, A003927, A003938, A003939, A003941, A003942.

Programs

  • Mathematica
    b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 4], {q, Select[Range[20], PrimePowerQ]}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = b(A000961(n + 1), 4) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

A003941 Order of simple Chevalley group B_5(q), q = prime power.

Original entry on oeis.org

24815256521932800, 76457792934119864313446400, 1211875293642881119668928512000000, 133004733151172695312500000000000000000, 14798669658041409826117343924395087366717440000, 46025883638628966977843321053405598530493271244800
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, A003927, A003938, A003939, A003940, A003942.

Programs

  • Mathematica
    b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 5], {q, Select[Range[10], PrimePowerQ]}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = b(A000961(n + 1), 5) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

Extensions

a(5)-a(6) from Sean A. Irvine, Sep 22 2015

A003942 Order of simple Chevalley group B_6(q), q = prime power.

Original entry on oeis.org

208114637736580743168000, 7197966128645938515382156481789952000, 85278137430613949474674174708223909560320000000, 1585539968089882234636505126953125000000000000000000000
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

References

  • H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.
  • 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.

Links

Crossrefs

Cf. A000961, A003927, A003938, A003939, A003940, A003941.

Programs

  • Mathematica
    b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 6], {q, Select[Range[10], PrimePowerQ]}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = b(A000961(n + 1), 6) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

A003943 Order of simple Chevalley group B_7(q), q = prime power.

Original entry on oeis.org

27930968965434591767112450048000, 54888780931741129517511777421088069718405808128000, 1536234346098532793158147848149455029037710018156586598400000000, 11813193319962228583281180423723757266998291015625000000000000000000000000
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, A003927, A003938, A003939, A003940, A003941, A003942, A003944.

Programs

  • Mathematica
    b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 7], {q, Select[Range[5], PrimePowerQ]}] (* Amiram Eldar, Jul 11 2025 *)

Formula

a(n) = b(A000961(n + 1), 7) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

Extensions

a(3)-a(4) from Sean A. Irvine, Sep 22 2015

A003944 Order of simple Chevalley group B_8(q), q = prime power.

Original entry on oeis.org

59980383884075203672726385914533642240000, 33903338948400079408255624011057141081545622145957207600005120000, 7084630453281025440882493116981310890142026281589018852388680249504694272000000000
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, A003927, A003938, A003939, A003940, A003941, A003942, A003943.

Programs

  • Mathematica
    b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 8], {q, Select[Range[4], PrimePowerQ]}] (* Amiram Eldar, Jul 11 2025 *)

Formula

a(n) = b(A000961(n + 1), 8) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

Extensions

a(3) from Sean A. Irvine, Sep 22 2015
Showing 1-7 of 7 results.

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

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