A246108
Number of inequivalent 7 X 7 matrices with entries from [n], where equivalence means permutations of rows or columns.
Original entry on oeis.org
0, 1, 33642660, 9610448114487414, 12508419942924578958856, 699686291478538604891895515, 5304145637506715118807098435916, 10114980502439545115146468340980932, 7023555040334136447558331379882184096, 2254372634250117773973027448098778962279
Offset: 0
-
b:= proc(n, i) option remember; `if`(n=0, [[]],
`if`(i<1, [], [b(n, i-1)[], seq(map(p->[p[], [i, j]],
b(n-i*j, i-1))[], j=1..n/i)]))
end:
a:= proc(n) unapply(add(add(x^add(add(i[2]*j[2]*
igcd(i[1], j[1]), j=t), i=s) /mul(i[1]^i[2]*i[2]!, i=s)
/mul(i[1]^i[2]*i[2]!, i=t), t=b(n$2)), s=b(n$2)), x)
end(7):
seq(a(n), n=0..10);
A246109
Number of inequivalent 8 X 8 matrices with entries from [n], where equivalence means permutations of rows or columns.
Original entry on oeis.org
0, 1, 14685630688, 2130536585704570302966, 209493560585995285291677153144, 333504381764054807093590006199733915, 38963096281905114770318673967657388979120, 750304814691805977574386038534306614497574954, 3861175753082201291221743022346066208381644388448
Offset: 0
-
b:= proc(n, i) option remember; `if`(n=0, [[]],
`if`(i<1, [], [b(n, i-1)[], seq(map(p->[p[], [i, j]],
b(n-i*j, i-1))[], j=1..n/i)]))
end:
a:= proc(n) unapply(add(add(x^add(add(i[2]*j[2]*
igcd(i[1], j[1]), j=t), i=s) /mul(i[1]^i[2]*i[2]!, i=s)
/mul(i[1]^i[2]*i[2]!, i=t), t=b(n$2)), s=b(n$2)), x)
end(8):
seq(a(n), n=0..10);
A246110
Number of inequivalent 9 X 9 matrices with entries from [n], where equivalence means permutations of rows or columns.
Original entry on oeis.org
0, 1, 21467043671008, 3379836486315342147630795474, 44407122853769773657258254744483639216, 3140944762272022074073055438393255181867210010, 8141947887028911666338424253996955242756334258901612, 2154844572709712035236045223460733805672731741592666006584
Offset: 0
-
b:= proc(n, i) option remember; `if`(n=0, [[]],
`if`(i<1, [], [b(n, i-1)[], seq(map(p->[p[], [i, j]],
b(n-i*j, i-1))[], j=1..n/i)]))
end:
a:= proc(n) unapply(add(add(x^add(add(i[2]*j[2]*
igcd(i[1], j[1]), j=t), i=s) /mul(i[1]^i[2]*i[2]!, i=s)
/mul(i[1]^i[2]*i[2]!, i=t), t=b(n$2)), s=b(n$2)), x)
end(9):
seq(a(n), n=0..10);
A246111
Number of inequivalent 10 X 10 matrices with entries from [n], where equivalence means permutations of rows or columns.
Original entry on oeis.org
0, 1, 105735224248507784, 39197947672609240635681299333726499, 122042291850117110186411151373496788803833567344, 599071101908675118606355537962231556550216893297767505350, 49613471837781303435661841941440050234912472934180371572880191904
Offset: 0
-
b:= proc(n, i) option remember; `if`(n=0, [[]],
`if`(i<1, [], [b(n, i-1)[], seq(map(p->[p[], [i, j]],
b(n-i*j, i-1))[], j=1..n/i)]))
end:
a:= proc(n) unapply(add(add(x^add(add(i[2]*j[2]*
igcd(i[1], j[1]), j=t), i=s) /mul(i[1]^i[2]*i[2]!, i=s)
/mul(i[1]^i[2]*i[2]!, i=t), t=b(n$2)), s=b(n$2)), x)
end(10):
seq(a(n), n=0..10);
A246112
Number of inequivalent n X n matrices with entries from [6], where equivalence means permutations of rows or columns.
Original entry on oeis.org
1, 6, 351, 289716, 4947097821, 1979525296377132, 19909522361922032493690, 5304145637506715118807098435916, 38963096281905114770318673967657388979120, 8141947887028911666338424253996955242756334258901612
Offset: 0
A246113
Number of inequivalent n X n matrices with entries from [7], where equivalence means permutations of rows or columns.
Original entry on oeis.org
1, 7, 637, 1144836, 58002778967, 93242242505023122, 5116530046996205504668323, 10114980502439545115146468340980932, 750304814691805977574386038534306614497574954, 2154844572709712035236045223460733805672731741592666006584
Offset: 0
A246114
Number of inequivalent n X n matrices with entries from [8], where equivalence means permutations of rows or columns.
Original entry on oeis.org
1, 8, 1072, 3780288, 490172624992, 2625154125717590496, 626072069382507442113224128, 7023555040334136447558331379882184096, 3861175753082201291221743022346066208381644388448, 107340376330263465926728519455647533170839443944210568803374736
Offset: 0
A246115
Number of inequivalent n X n matrices with entries from [9], where equivalence means permutations of rows or columns.
Original entry on oeis.org
1, 9, 1701, 10865205, 3223155968811, 49871029909245781491, 43460016875695276108491159279, 2254372634250117773973027448098778962279, 7252372830439610560387220475713321003653570924839924, 1493197587365241166689220567691206411606485768307602552950789523519
Offset: 0
A246116
Number of inequivalent n X n matrices with entries from [10], where equivalence means permutations of rows or columns.
Original entry on oeis.org
1, 10, 2575, 27969700, 17382581357725, 694584034909225304800, 1929070259806764423045266428090, 393677642528244089712410955032173080437860, 6151190771496090048680569057728482192815064016425838160
Offset: 0