The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A225936 Number of conjugacy classes in simply connected Chevalley group E_7(q) as q runs through the prime powers. 1
 531, 5052, 24553, 107833, 999759, 2447517, 5494392, 21711067, 68562129, 287617189, 437995549, 946912755, 3567919999, 6370211253, 10880553708, 17891119105, 28464383127, 35505127221, 97650322329, 199757104357, 278459342139, 517897029319, 692671751805 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric M. Schmidt, Table of n, a(n) for n = 1..1000 Frank Luebeck, Numbers of Conjugacy Classes in Finite Groups of Lie Type. FORMULA Let q be the n-th prime power. Then, a(n) is q^7 + q^6 + 2q^5 + 4q^4 + 10q^3 + 15q^2 + 25q + 21 if q == 0 (mod 2); q^7 + q^6 + 2q^5 + 7q^4 + 17q^3 + 35q^2 + 70q + 99 if q == 0 (mod 3); q^7 + q^6 + 2q^5 + 7q^4 + 17q^3 + 35q^2 + 71q + 103 otherwise. PROG (Sage) def A225936(q) : return q^7 + q^6 + 2*q^5 + (4*q^4 + 10*q^3 + 15*q^2 + 25*q + 21 if q%2==0 else 7*q^4 + 17*q^3 + 35*q^2 + 70*q + 99 if q%3==0 else 7*q^4 + 17*q^3 + 35*q^2 + 71*q + 103) CROSSREFS Cf. A188161, A224790, A225928 - A225938. Sequence in context: A031701 A158367 A225937 * A098257 A174780 A191950 Adjacent sequences:  A225933 A225934 A225935 * A225937 A225938 A225939 KEYWORD nonn AUTHOR Eric M. Schmidt, May 21 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 28 06:58 EDT 2021. Contains 346317 sequences. (Running on oeis4.)