Sequences

Even numbers to the right of the central numbers of the (2,1)-Pascal triangle A029653.

Numbers to the left of the central numbers of the (2,1)-Pascal triangle A029653.

Numbers to the right of the central elements of the (2,1)-Pascal triangle A029653 that are different from 1.

Odd numbers to the left of the central elements of the (2,1)-Pascal triangle A029653.

Even numbers to the left of the central elements of the (2,1)-Pascal triangle A029653.

Numbers to the right of the central elements of the (2,1)-Pascal triangle A029653.

Numbers to the left of the central elements of the (2,1)-Pascal triangle A029653 that are different from 2.

Odd numbers to the right of the central elements of the (2,1)-Pascal triangle A029653 that are different from 1.

Odd numbers in the (2,1)-Pascal triangle A029653.

Theta series of quadratic form with Gram matrix [ 2, 1, 0; 1, 3, 1; 0, 1, 3 ].

Theta series of quadratic form with Gram matrix [ 2, 1, 0; 1, 4, 1; 0, 1, 4 ].

Theta series of quadratic form with Gram matrix [ 3, 1, 1; 1, 2, 1; 1, 1, 3 ].

Theta series of quadratic form with Gram matrix [ 2, 0, 1; 0, 4, 2; 1, 2, 4 ].

Numbers represented by quadratic form with Gram matrix [ 3, 1, 0; 1, 3, 1; 0, 1, 4 ].

Numbers represented by quadratic form with Gram matrix [ 3, 1, -1; 1, 4, 1; -1, 1, 3 ].

Theta series of quadratic form with Gram matrix [ 3, 1, 0; 1, 3, 1; 0, 1, 4 ].

Theta series of quadratic form with Gram matrix [ 4, 1, 0; 1, 4, 2; 0, 2, 6 ].

Theta series of quadratic form with Gram matrix [ 3, 1, -1; 1, 4, 1; -1, 1, 3 ].

Theta series of quadratic form with Gram matrix [ 2, 0, 0; 0, 2, 1; 0, 1, 4 ].

Theta series of quadratic form with Gram matrix [ 4, 2, 2; 2, 4, 1; 2, 1, 6 ].

Theta series of quadratic form with Gram matrix [ 2, 1, 0; 1, 2, 1; 0, 1, 3 ].

Theta series of quadratic form with Gram matrix [ 2, 1, 0; 1, 2, 1; 0, 1, 4 ].

a(n) = n-th digit after decimal point of cube root of n.

n-th digit after decimal point of 4th root of n.

n-th digit after decimal point of 5th root of n.

n-th digit after decimal point of 6th root of n.

n-th digit after decimal point of 7th root of n.

n-th digit after decimal point of 8th root of n.

n-th digit after decimal point of 9th root of n.

Theta series of 6-dimensional lattice P6.4 = A6,2.

n-th binary digit in fractional part of square root of n.

n-th bit in binary expansion of square root of n.

n-th binary digit in fractional part of cube root of n.

n-th bit in binary expansion of cube root of n.

Theta series of 6-dimensional perfect lattice P6.6 = A6,1.

Theta series of 7-dimensional lattice Kappa_7*.

Number of words of length 2n in the 6 transpositions of S[ 4 ] equivalent to the identity.

Number of words of length 2n in the 10 transpositions of S[5] equivalent to the identity.

Number of words of length 4 in the n(n-1)/2 transpositions of S[ n ] equivalent to the identity.

Number of words of length 6 in the n(n-1)/2 transpositions of S[ n ] equivalent to the identity.

Number of lines on the intersection of two general hypersurfaces of degree n in complex projective (n+2)-space.

Q(sqrt(n)) has class number 2.

Q(sqrt(n)) has class number 3.

Q(sqrt(n)) has class number 4.

Squarefree n such that Q(sqrt(n)) has class number 5.

Sum C(n,k)*b(k), k=1..n, where b(k) is given by A001861.

Numbers k such that the k-th and the (k+1)-st primes are twin primes.

Numbers k such that k-2 and k+2 are consecutive primes.

Numbers k such that k-th and (k+1)st primes differ by 4.

Primes such that next prime is 4 greater.