Sequences

392,541 sequences

Expansion of (theta_3(z)*theta_3(24z)+theta_2(z)*theta_2(24z)) in powers of q^(1/4).A028661
Expansion of (theta_3(z)*theta_3(24z)+theta_2(z)*theta_2(24z)) in powers of q^(1/4).
Expansion of (theta_3(z)*theta_3(24z)+theta_2(z)*theta_2(24z))^2.A028662
Expansion of (theta_3(z)*theta_3(24z)+theta_2(z)*theta_2(24z))^2.
Expansion of (theta_3(z)*theta_3(24z)+theta_2(z)*theta_2(24z))^3.A028663
Expansion of (theta_3(z)*theta_3(24z)+theta_2(z)*theta_2(24z))^3.
Expansion of (theta_3(z)*theta_3(24z)+theta_2(z)*theta_2(24z))^4.A028664
Expansion of (theta_3(z)*theta_3(24z)+theta_2(z)*theta_2(24z))^4.
Galois numbers for p=3; order of group AGL(n,3).A028665
Galois numbers for p=3; order of group AGL(n,3).
a(n) = order of the orthogonal group O_n(2) if n is odd or O^(+)_n(2) if n is even.A028666
a(n) = order of the orthogonal group O_n(2) if n is odd or O^(+)_n(2) if n is even.
Galois numbers for p=5; order of group AGL(n,5).A028667
Galois numbers for p=5; order of group AGL(n,5).
Pseudo Galois numbers for d=6.A028668
Pseudo Galois numbers for d=6.
Galois numbers for p=7; order of group AGL(n,7).A028669
Galois numbers for p=7; order of group AGL(n,7).
Pseudo Galois numbers for d=8; order of group AGL(n,2^3).A028670
Pseudo Galois numbers for d=8; order of group AGL(n,2^3).
Pseudo Galois numbers for d=9; order of group AGL(n,3^2).A028671
Pseudo Galois numbers for d=9; order of group AGL(n,3^2).
Pseudo Galois numbers for d=10.A028672
Pseudo Galois numbers for d=10.
Galois numbers for p=11; order of group AGL(n,11).A028673
Galois numbers for p=11; order of group AGL(n,11).
Pseudo Galois numbers for d=12.A028674
Pseudo Galois numbers for d=12.
Galois numbers for p=13; order of group AGL(n,13).A028675
Galois numbers for p=13; order of group AGL(n,13).
Pseudo Galois numbers for d=14.A028676
Pseudo Galois numbers for d=14.
Pseudo Galois numbers for d=15.A028677
Pseudo Galois numbers for d=15.
Pseudo Galois numbers for d=16; order of group AGL(n,2^4).A028678
Pseudo Galois numbers for d=16; order of group AGL(n,2^4).
Galois numbers for p=17; order of group AGL(n,17).A028679
Galois numbers for p=17; order of group AGL(n,17).
Pseudo Galois numbers for d=18.A028680
Pseudo Galois numbers for d=18.
Galois numbers for p=19; order of group AGL(n,19).A028681
Galois numbers for p=19; order of group AGL(n,19).
Pseudo Galois numbers for d=20.A028682
Pseudo Galois numbers for d=20.
Pseudo Galois numbers for d=21.A028683
Pseudo Galois numbers for d=21.
Pseudo Galois numbers for d=22.A028684
Pseudo Galois numbers for d=22.
Galois numbers for p=23; order of group AGL(n,23).A028685
Galois numbers for p=23; order of group AGL(n,23).
Pseudo Galois numbers for d=24.A028686
Pseudo Galois numbers for d=24.
Sorted k-factorial numbers (numbers of form k-1 excluded).A028687
Sorted k-factorial numbers (numbers of form k-1 excluded).
Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).A028688
Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).
Sorted Galois numbers.A028689
Sorted Galois numbers.
Sorted Galois and Pseudo-Galois numbers.A028690
Sorted Galois and Pseudo-Galois numbers.
Least positive value of k for which the n-th sorted Galois number divides k!.A028691
Least positive value of k for which the n-th sorted Galois number divides k!.
23-factorial numbers.A028692
23-factorial numbers.
24-factorial numbers.A028693
24-factorial numbers.
25-factorial numbers.A028694
25-factorial numbers.
Duplicate of A008665.A028695
Duplicate of A008665.
Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^3.A028696
Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^3.
Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^4.A028697
Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^4.
Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z)).A028698
Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z)).
Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^2.A028699
Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^2.
Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^3.A028700
Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^3.
Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^4.A028701
Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^4.
Expansion of (theta_3(z)*theta_3(3z)*theta_3(9z)+theta_2(z)*theta_2(3z)*theta_2(9z)).A028702
Expansion of (theta_3(z)*theta_3(3z)*theta_3(9z)+theta_2(z)*theta_2(3z)*theta_2(9z)).
Expansion of (theta_3(z)*theta_3(3z)*theta_3(9z)+theta_2(z)*theta_2(3z)*theta_2(9z))^2.A028703
Expansion of (theta_3(z)*theta_3(3z)*theta_3(9z)+theta_2(z)*theta_2(3z)*theta_2(9z))^2.
Expansion of (theta_3(z)*theta_3(3z)*theta_3(9z)+theta_2(z)*theta_2(3z)*theta_2(9z))^3.A028704
Expansion of (theta_3(z)*theta_3(3z)*theta_3(9z)+theta_2(z)*theta_2(3z)*theta_2(9z))^3.
Expansion of (theta_3(z)*theta_3(3z)*theta_3(9z)+theta_2(z)*theta_2(3z)*theta_2(9z))^4.A028705
Expansion of (theta_3(z)*theta_3(3z)*theta_3(9z)+theta_2(z)*theta_2(3z)*theta_2(9z))^4.
Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z)).A028706
Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z)).
Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z))^2.A028707
Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z))^2.
Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z))^3.A028708
Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z))^3.
Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z))^4.A028709
Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z))^4.
Expansion of (theta_3(z)*theta_3(5z)*theta_3(25z)+theta_2(z)*theta_2(5z)*theta_2(25z)).A028710
Expansion of (theta_3(z)*theta_3(5z)*theta_3(25z)+theta_2(z)*theta_2(5z)*theta_2(25z)).