A053847
Number of n X n matrices over GF(3) of order dividing 3 (i.e., number of solutions of X^3=I in GL(n,3)).
Original entry on oeis.org
1, 9, 729, 82161, 61922961, 327523604409, 2968963728429609, 177453815706399966561, 71091462160659703468902561, 51901843800561973225033489716969, 249256796709038336422469428312871270649, 7916914883318037268574503647562168355985573201
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053848
Number of n X n matrices over GF(3) of order dividing 4 (i.e., number of solutions of X^4=I in GL(n,3)).
Original entry on oeis.org
2, 20, 1640, 901424, 1333386848, 9762556479680, 552311189659544960, 178664076508334107310336, 177339376736100844376103875072, 928195308949863753322027981355832320, 37279296908672313898400994512625009709475840
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053849
Number of n X n matrices over GF(3) of order dividing 5 (i.e., number of solutions of X^5=I in GL(n,3)).
Original entry on oeis.org
1, 1, 1, 303265, 2972290465, 21908753010145, 149203663865159905, 46239110653796245209025, 2921531591617287960635324005825, 141479937596692631672320398001559452225, 6324451981634068043025384996830468552444687425
Offset: 1
A053852
Number of n X n matrices over GF(3) of order dividing 7 (i.e., number of solutions of X^7=I in GL(n,3)).
Original entry on oeis.org
1, 1, 1, 1, 1, 115562653240321, 92079975413927255041, 55043567702937434517811201, 30375957967569132050957664153601, 16344540545803963971405840043681904641, 8722002954856094967866703998081059674593281, 1007937807674669630303410866111304336524953920798402867201
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053853
Number of n X n matrices over GF(3) of order dividing 8 (i.e., number of solutions of X^8=I in GL(n,3)).
Original entry on oeis.org
2, 32, 4448, 3816128, 26288771456, 1354765603506176, 413011432853757876224, 1232292753203369699693195264, 12961108500525078696110888464867328, 1011066029229309888379062265909092037296128, 580367747201355872811056515502067372016693810429952
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053855
Number of n X n matrices over GF(3) of order dividing 10 (i.e., number of solutions of X^10=I in GL(n,3)).
Original entry on oeis.org
2, 14, 236, 619220, 11890945640, 613445895807320, 70424130340088781680, 325784192369064628390662800, 38844516111082042308571222950605600, 13159967487181842256922128281356518089759200, 9916640076650391701813048608335186503022719034948800
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053857
Number of n X n matrices over GF(4) of order dividing 3 (i.e., number of solutions of X^3=I in GL(n,4)).
Original entry on oeis.org
3, 63, 8739, 5790339, 25502129667, 757411145447427, 118807204270671126531, 126820439575807166309695491, 924621244138490026408263487979523, 36417188783803065273959858411560634941443, 9819078516370596103771260673534011545166677016579
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053860
Number of n X n matrices over GF(4) of order dividing 5 (i.e., number of solutions of X^5=I in GL(n,4)).
Original entry on oeis.org
1, 25, 8065, 15450625, 1157871796225, 87966277381914625, 163854915382616600346625, 2899292808403896778002083610625, 409353092294744973843137037325905690625, 1655314633158965843313074656520358690270555930625, 8042610863521667687144051842810375934526150927428955930625
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053862
Number of n X n matrices over GF(4) of order dividing 7 (i.e., number of solutions of X^7=I in GL(n,4)).
Original entry on oeis.org
1, 1, 5761, 31334401, 136768389121, 820260207643852801, 18335066086016219275591681, 328113739821565326934355528908801, 13331506915406061943466437913131131863041, 709215733340453866919693651825288232662162472960001, 51979148071106263356020510647871238516054065671329809222860801
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053876
Number of elements of order 6 in GL(n,2).
Original entry on oeis.org
0, 0, 0, 5040, 1249920, 1315915776, 2224389629952, 13813319064330240, 219415609610739548160, 16360077906225109102362624, 3333279237117892795069534568448, 2704161159785811615896281588873297920
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
Comments