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 1-10 of 12 results. Next

A003808 Order of simple Chevalley group A_3(q) (or D_3(q)), q = prime power.

Original entry on oeis.org

20160, 6065280, 987033600, 7254000000, 2317591180800, 34558531338240, 50759843097600, 2069665112592000, 12714519233969280, 1148120010326016000, 712975930219192320, 7568375355962524800
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.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[#, 3] & /@ Select[Range[2, 20], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(A000961(n+1),3) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

A003794 Order of simple Chevalley group A_n (4).

Original entry on oeis.org

1, 60, 20160, 987033600, 258492255436800, 361310134959341568000, 72736898347485916060188672000, 78099458182389588115529148326215680000, 447244452196213365088128369288351077766266880000
Offset: 0

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.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[4, #] & /@ Range[0, 8] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(4,n) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Extensions

a(8) from Sean A. Irvine, Sep 18 2015

A003807 Order of simple Chevalley group A_2(q), q = prime power.

Original entry on oeis.org

168, 5616, 20160, 372000, 1876896, 16482816, 42456960, 212427600, 270178272, 1425715200, 6950204928, 5644682640, 78156525216, 50778000000, 282027786768, 499631102880, 283991644800, 1098404364288
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.

Crossrefs

Cf. A000961.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[#, 2] & /@ Select[Range[2, 36], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(A000961(n+1),2) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

A003795 Order of simple Chevalley group A_n (5).

Original entry on oeis.org

1, 60, 372000, 7254000000, 56653740000000000, 1383059427750000000000000, 3376566710423156250000000000000000, 25761093646334667714843750000000000000000000, 78616578542037111790447631835937500000000000000000000000
Offset: 0

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.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[5, #] & /@ Range[0, 8] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(5,n) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Extensions

a(8) from Sean A. Irvine, Sep 18 2015

A003797 Order of simple Chevalley group A_n (7).

Original entry on oeis.org

1, 168, 1876896, 2317591180800, 187035198320488089600, 61637759336805268655956377600, 35832085525362833262818017603275320524800, 85057500275967538647136529625446531799449748111360000
Offset: 0

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.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[7, #] & /@ Range[0, 7] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(7,n) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Extensions

a(7) from Sean A. Irvine, Sep 18 2015

A003798 Order of simple Chevalley group A_n (8).

Original entry on oeis.org

1, 504, 16482816, 34558531338240, 4638226007491010887680, 39841906041871272087686291128320, 3129044148368792621827017675376367700541440, 770654129255561941216424578913668563609374922170066534400
Offset: 0

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.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[8, #] & /@ Range[0, 7] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(8,n) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Extensions

a(7) from Sean A. Irvine, Sep 18 2015

A003799 Order of simple Chevalley group A_n (9).

Original entry on oeis.org

1, 360, 42456960, 50759843097600, 78660280796419613491200, 1234219157861100568481165377536000, 6274437692242927471137606015213542491815936000, 161481381212849029341257163594808056515516032931132866560000
Offset: 0

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.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[9, #] & /@ Range[0, 7] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(9,n) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Extensions

a(7) from Sean A. Irvine, Sep 18 2015

A003809 Order of simple Chevalley group A_4(q), q = prime power.

Original entry on oeis.org

9999360, 237783237120, 258492255436800, 56653740000000000, 187035198320488089600, 4638226007491010887680, 78660280796419613491200, 1952052708565059186240000, 539322992420959314658621440, 15779626219308347912355840000, 338200968038818404584356577280, 4884441266449243967839995916800
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.

Crossrefs

Different from A003802.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[#, 4] & /@ Select[Range[2, 22], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(A000961(n+1),4) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Extensions

a(9)-a(12) from Michael De Vlieger, Sep 18 2015

A003811 Order of simple Chevalley group A_6(q), q = prime power.

Original entry on oeis.org

163849992929280, 67034222101339041669120, 72736898347485916060188672000, 3376566710423156250000000000000000, 35832085525362833262818017603275320524800, 3129044148368792621827017675376367700541440
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.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[#, 6] & /@ Select[Range[2, 8], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(A000961(n+1),6) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Extensions

Beginning same as A003804.
a(6) from Sean A. Irvine, Sep 18 2015

A003810 Order of simple Chevalley group A_5(q), q = prime power.

Original entry on oeis.org

20158709760, 21032402889738240, 361310134959341568000, 1383059427750000000000000, 61637759336805268655956377600, 39841906041871272087686291128320, 1234219157861100568481165377536000, 1392357762553459444742198951136000000, 161092184393918097496815608751014338560
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.

Programs

  • Mathematica
    f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[#, 5] & /@ Select[Range[2, 13], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = a(A000961(n+1),5) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Extensions

a(8)-a(9) from Michael De Vlieger, Sep 18 2015
Showing 1-10 of 12 results. Next

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

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