A379588
Antidiagonal sums of the array A379587.
Original entry on oeis.org
0, 1, 11, 84, 642, 5633, 59021, 736944, 10839316, 185361065, 3637063343, 80939054884, 2023405966486, 56362728831929, 1736960568923505, 58853395571312176, 2180579093801111176, 87921539854223957169, 3841160785119756991059
Offset: 0
-
A379587[n_,k_]:=(k^n-1)^2/(k-1); a[n_]:=Sum[A379587[n-k+2,k],{k,2,n+2}]; Array[a,15,0]
A060869
Number of n X n matrices over GF(4) with rank 1.
Original entry on oeis.org
3, 75, 1323, 21675, 348843, 5589675, 89467563, 1431612075, 22906317483, 366503176875, 5864059218603, 93824981052075, 1501199831050923, 24019197833685675, 384307167486454443, 6148914688373205675, 98382635048331029163, 1574122160910735420075, 25185954575121522535083
Offset: 1
Ahmed Fares (ahmedfares(AT)my-deja.com), May 04 2001
a(2) = 75 because there are 76 (the second element in sequence A060716) singular 2 X 2 matrices over GF(4), that have rank <= 1 of which only the zero matrix has rank zero so a(2) = 76 - 1 = 75.
More terms from Larry Reeves (larryr(AT)acm.org) and
Jason Earls, May 07 2001
A060868
Number of n X n matrices over GF(3) with rank 1.
Original entry on oeis.org
2, 32, 338, 3200, 29282, 264992, 2389298, 21516800, 193690562, 1743333152, 15690352658, 141214236800, 1270931319842, 11438391444512, 102945551698418, 926510051379200, 8338590720693122, 75047317261079072, 675425857674234578, 6078832726041680000, 54709494555295826402
Offset: 1
Ahmed Fares (ahmedfares(AT)my-deja.com), May 04 2001
a(2) = 32 because there are 33 (the second element in sequence A060705) singular 2 X 2 matrices over GF(3), that have rank <= 1 of which only the zero matrix has rank zero so a(2) = 33 - 1 = 32.
Showing 1-3 of 3 results.