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
- 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.
-
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 *)
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
- 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.
-
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 *)
A003838
Order of (usually) simple Chevalley group D_n (5).
Original entry on oeis.org
1, 3600, 7254000000, 8911539000000000000, 6807663884896875000000000000000, 3246978048053003424316406250000000000000000000, 967724409898859060146424426078796386718750000000000000000000000
Offset: 1
- 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.
-
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 *)
Showing 1-3 of 3 results.