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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

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