A053774
Number of n X n binary matrices of order dividing 9 (i.e., number of solutions of X^9=I in GL(n,2)).
Original entry on oeis.org
1, 3, 57, 1233, 75393, 339089409, 2607120373761, 42451338836860929, 3767776947041641791489, 355742034243147691726340097, 91926159597577085028716636536833, 97320453584330647458564330111836880897, 145554614131872292109665186286397182040866817
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A053775
Number of n X n binary matrices of order dividing 10 (i.e., number of solutions of X^10=I in GL(n,2)).
Original entry on oeis.org
1, 4, 22, 1660, 673600, 896315680, 1430468698240, 27959577476915200, 2959021586728806707200, 1022333042228611529224192000, 420758775616050043741512977612800
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A063387
Number of solutions of x^4=1 in general affine group AGL(n,2).
Original entry on oeis.org
2, 16, 512, 45376, 8556032, 4883562496, 8980929708032, 42613515533418496, 486724235988568113152, 16895428758428581359517696, 1832013338159753885910032187392, 514041193283459103260028716172967936
Offset: 1
A063388
Number of solutions of x^5=1 in general affine group AGL(n,2).
Original entry on oeis.org
1, 1, 1, 21505, 10665985, 3583770625, 1040317415425, 22653952038273025, 2926557495587739009025, 255470267616151345324621825, 19124940736236376955275154817025, 1747866583310404907502405460766490625
Offset: 1
A053776
Number of n X n binary matrices of order dividing 11 (i.e., number of solutions of X^11=I in GL(n,2)).
Original entry on oeis.org
1, 1, 1, 1, 1, 1, 1, 1, 1, 358201502736997192984166401, 750836199529096452135514747699201, 1049488806253789856936937093744033792001, 1257525074216198249058077510927708275605504001, 1406432139324346089084141831613688810103123424051201
Offset: 1
- V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
A063389
Number of solutions of x^6=1 in general affine group AGL(n,2).
Original entry on oeis.org
2, 18, 540, 75168, 35803296, 52295889024, 165440621998080, 1667054559389773824, 57054517078704967876608, 7229212455140774474869112832, 3089828410800189940613202019614720
Offset: 1
A063390
Number of solutions of x^7=1 in general affine group AGL(n,2).
Original entry on oeis.org
1, 1, 385, 46081, 3809281, 27335393281, 219971402072065, 1196544590358773761, 34605327838407410319361, 15221801372279275206853263361, 5309386094113063403935896849874945
Offset: 1
A063391
Number of solutions of x^8=1 in general affine group AGL(n,2).
Original entry on oeis.org
2, 16, 512, 65536, 33554432, 68719476736, 562949953421312, 13098680304497852416, 668820864146264243044352, 107256832111726994824496152576, 61528102027124002571478755339927552
Offset: 1
A063392
Number of solutions of x^9=1 in general affine group AGL(n,2).
Original entry on oeis.org
1, 9, 225, 6273, 968193, 20785780737, 166595296845825, 8149768955751661569, 951855018651756891865089, 115831656001165053232244326401, 75552701461152667657380793652609025
Offset: 1
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.