Sequences

392,541 sequences

Order of simple Chevalley group A_5(q), q = prime power.A003810
Order of simple Chevalley group A_5(q), q = prime power.
Order of simple Chevalley group A_6(q), q = prime power.A003811
Order of simple Chevalley group A_6(q), q = prime power.
Order of simple Chevalley group A_7(q), q = prime power.A003812
Order of simple Chevalley group A_7(q), q = prime power.
Order of simple Chevalley group A_8(q), q = prime power.A003813
Order of simple Chevalley group A_8(q), q = prime power.
Numbers k such that the continued fraction for sqrt(k) has odd period length.A003814
Numbers k such that the continued fraction for sqrt(k) has odd period length.
a(0) = 0, a(n) = a(n-1) XOR n.A003815
a(0) = 0, a(n) = a(n-1) XOR n.
a(0) = 0, a(n) = a(n-1) XOR -n.A003816
a(0) = 0, a(n) = a(n-1) XOR -n.
a(0) = 0, a(n) = a(n-1) OR n.A003817
a(0) = 0, a(n) = a(n-1) OR n.
a(1)=a(2)=1, a(n+1) = (a(n)^3 +1)/a(n-1).A003818
a(1)=a(2)=1, a(n+1) = (a(n)^3 +1)/a(n-1).
a(1)=a(2)=1, a(n+1) = (a(n)^4 +1)/a(n-1).A003819
a(1)=a(2)=1, a(n+1) = (a(n)^4 +1)/a(n-1).
a(1)=a(2)=1, a(n+1) = (a(n)^5 +1)/a(n-1).A003820
a(1)=a(2)=1, a(n+1) = (a(n)^5 +1)/a(n-1).
a(1)=a(2)=1, a(n+1) = (a(n)^6 +1)/a(n-1).A003821
a(1)=a(2)=1, a(n+1) = (a(n)^6 +1)/a(n-1).
Number of commutative elements in Coxeter group E_n.A003822
Number of commutative elements in Coxeter group E_n.
Power series expansion of the Rogers-Ramanujan continued fraction 1+x/(1+x^2/(1+x^3/(1+x^4/(1+...)))).A003823
Power series expansion of the Rogers-Ramanujan continued fraction 1+x/(1+x^2/(1+x^3/(1+x^4/(1+...)))).
Numbers that are the sum of two 4th powers in more than one way (primitive solutions).A003824
Numbers that are the sum of two 4th powers in more than one way (primitive solutions).
Numbers that are the sum of two positive cubes in at least three ways (primitive solutions).A003825
Numbers that are the sum of two positive cubes in at least three ways (primitive solutions).
Numbers that are the sum of two cubes in at least four ways (primitive solutions).A003826
Numbers that are the sum of two cubes in at least four ways (primitive solutions).
'Core' alternating sign n X n matrices, i.e., those that are not 'blown up' from a smaller matrix by inserting row i, column j with a_ij = 1 and all other entries in that row and column equal to 0.A003827
'Core' alternating sign n X n matrices, i.e., those that are not 'blown up' from a smaller matrix by inserting row i, column j with a_ij = 1 and all other entries in that row and column equal to 0.
Numbers k such that k^4 is a primitive sum of 3 positive fourth powers.A003828
Numbers k such that k^4 is a primitive sum of 3 positive fourth powers.
Maximal number of unit circles through n points in plane, each circle containing 3 of the points.A003829
Maximal number of unit circles through n points in plane, each circle containing 3 of the points.
Order of universal Chevalley group D_n (3).A003830
Order of universal Chevalley group D_n (3).
Order of universal Chevalley group D_n (4).A003831
Order of universal Chevalley group D_n (4).
Order of universal Chevalley group D_n (5).A003832
Order of universal Chevalley group D_n (5).
Sectors around outside of dartboard.A003833
Sectors around outside of dartboard.
Order of universal Chevalley group D_n (7).A003834
Order of universal Chevalley group D_n (7).
Order of universal Chevalley group D_n (8).A003835
Order of universal Chevalley group D_n (8).
Order of universal Chevalley group D_n (9).A003836
Order of universal Chevalley group D_n (9).
Order of (usually) simple Chevalley group D_n (3).A003837
Order of (usually) simple Chevalley group D_n (3).
Order of (usually) simple Chevalley group D_n (5).A003838
Order of (usually) simple Chevalley group D_n (5).
Order of (usually) simple Chevalley group D_n (7).A003839
Order of (usually) simple Chevalley group D_n (7).
Order of (usually) simple Chevalley group D_n (9).A003840
Order of (usually) simple Chevalley group D_n (9).
Order of universal Chevalley group D_2(q), q = prime power.A003841
Order of universal Chevalley group D_2(q), q = prime power.
The infinite Fibonacci word: start with 1, repeatedly apply the morphism 1->12, 2->1, take limit; or, start with S(0)=2, S(1)=1, and for n>1 define S(n)=S(n-1)S(n-2), then the sequence is S(oo).A003842
The infinite Fibonacci word: start with 1, repeatedly apply the morphism 1->12, 2->1, take limit; or, start with S(0)=2, S(1)=1, and for n>1 define S(n)=S(n-1)S(n-2), then the sequence is S(oo).
Order of universal Chevalley group D_4(q), q = prime power.A003843
Order of universal Chevalley group D_4(q), q = prime power.
Order of universal Chevalley group D_5(q), q = prime power.A003844
Order of universal Chevalley group D_5(q), q = prime power.
Order of universal Chevalley group D_6(q), q = prime power.A003845
Order of universal Chevalley group D_6(q), q = prime power.
Order of universal Chevalley group D_7(q), q = prime power.A003846
Order of universal Chevalley group D_7(q), q = prime power.
Order of universal Chevalley group D_8(q), q = prime power.A003847
Order of universal Chevalley group D_8(q), q = prime power.
Order of (usually) simple Chevalley group D_2(q), q = prime power.A003848
Order of (usually) simple Chevalley group D_2(q), q = prime power.
The infinite Fibonacci word (start with 0, apply 0->01, 1->0, take limit).A003849
The infinite Fibonacci word (start with 0, apply 0->01, 1->0, take limit).
Order of simple Chevalley group D_4(q), q = prime power.A003850
Order of simple Chevalley group D_4(q), q = prime power.
Order of simple Chevalley group D_5(q), q = prime power.A003851
Order of simple Chevalley group D_5(q), q = prime power.
Order of simple Chevalley group D_6(q), q = prime power.A003852
Order of simple Chevalley group D_6(q), q = prime power.
Order of simple Chevalley group D_7(q), q = prime power.A003853
Order of simple Chevalley group D_7(q), q = prime power.
Order of simple Chevalley group D_8(q), q = prime power.A003854
Order of simple Chevalley group D_8(q), q = prime power.
Degrees of irreducible representations of Mathieu group M_11.A003855
Degrees of irreducible representations of Mathieu group M_11.
Degrees of irreducible representations of Mathieu group M_12.A003856
Degrees of irreducible representations of Mathieu group M_12.
Degrees of irreducible representations of Mathieu group M_22.A003857
Degrees of irreducible representations of Mathieu group M_22.
Degrees of irreducible representations of Mathieu group M_23.A003858
Degrees of irreducible representations of Mathieu group M_23.
Degrees of irreducible representations of Mathieu group M_24.A003859
Degrees of irreducible representations of Mathieu group M_24.