Sequences

Triangle read by rows: T(n,k) = k for n >= 1, k = 1..n.

Numbers k such that 11*2^k + 1 is prime.

Triangle read by rows: T(n,k) = k, 0 <= k <= n, in which row n lists the first n+1 nonnegative integers.

Numbers k such that 25*4^k + 1 is prime.

Nonnegative integers repeated 3 times.

Nonnegative integers repeated 4 times.

Integers repeated 5 times.

The 15 supersingular primes: primes dividing order of Monster simple group.

Dimensions of integral lattices that are irreducible modulo every prime (there may be missing terms!).

Numbers k such that 39*2^k + 1 is prime.

Composite numbers k such that k*sigma(k) == 2 (mod phi(k)).

Numbers m such that all odd numbers k, 1 < k < m, relatively prime to m are primes.

Theta series of 32-dimensional Quebbemann lattice Q_32.

Theta series of 28-dimensional Quebbemann lattice.

Numbers k such that 57*2^k + 1 is prime.

Repunits: (10^n - 1)/9. Often denoted by R_n.

a(n) = 2*(10^n - 1)/9.

a(n) = 3*(10^n - 1)/9.

a(n) = 4*(10^n - 1)/9.

a(n) = 5*(10^n - 1)/9.

a(n) = 6*(10^n - 1)/9.

a(n) = 7*(10^n - 1)/9.

a(n) = 8*(10^n - 1)/9.

a(n) = 10^n - 1.

q-expansion of modular form of weight 13/2: eta(8 tau)^12 * theta(tau).

Decimal expansion of common logarithm of e.

Bisection of A002470.

Bisection of A002470.

G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.

Weight distribution of [ 23,12,7 ] binary perfect Golay code.

Absolute value of Glaisher's alpha(n).

Absolute value of Glaisher's beta'(2n+1).

Related to representation as sums of squares.

Number of dissections of a polygon: binomial(4*n, n)/(3*n + 1).

a(n) = binomial(5*n, n)/(4*n + 1).

Number of dissections of a polygon: binomial(6n,n)/(5n+1).

Number of dissections of a polygon: binomial(7n,n)/(6n+1).

Numerator of (2/Pi)*Integral_{0..inf} (sin x / x)^n dx.

Denominator of (2/Pi)*Integral_{0..inf} (sin x / x)^n dx.

Binomial coefficients C(2*n+5,5).

Coefficients in the expansion of B^2*C^3 in Watson's notation of page 118.

a(n) = n! / 3.

Generalized tangent numbers.

Generalized tangent numbers.

Numerators of coefficients in asymptotic expansion of (2/Pi)*Integral_{0..oo} (sin x / x)^n dx.

Denominators of coefficients in asymptotic expansion of (2/Pi)*Integral_{0..oo} (sin x / x)^n dx.

Numerators of Hurwitz numbers H_n (coefficients in expansion of Weierstrass P-function).

Consecutive quadratic residues mod p: a(n) is the maximal number of positive reduced quadratic residues which appear consecutively for n-th prime.

Consecutive quadratic nonresidues mod p.

Sum of fourth powers of first n odd numbers.