Sequences

Inverse of 52nd cyclotomic polynomial.

a(n) = binomial(n^2, n).

Inverse of 54th cyclotomic polynomial.

Coefficients of the reciprocal of the 55th cyclotomic polynomial.

Inverse of 56th cyclotomic polynomial.

Inverse of 57th cyclotomic polynomial.

Inverse of 58th cyclotomic polynomial.

a(n) = binomial(n*(n+1)/2, n).

Inverse of 60th cyclotomic polynomial.

a(n) = binomial(2^n, n).

Inverse of 62nd cyclotomic polynomial.

Inverse of 63rd cyclotomic polynomial.

Number of vectors abcdefg with a,b,... >= 0, a+...+g=n, a>={b,...g}.

Inverse of 65th cyclotomic polynomial.

Inverse of 66th cyclotomic polynomial.

Odd nonprimes.

Norm of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2.

Inverse of 69th cyclotomic polynomial.

Inverse of 70th cyclotomic polynomial.

Factorions: equal to the sum of the factorials of their digits in base 10 (cf. A061602).

a(n) is the number of occurrences of '11' in the binary expansion of n.

Number of occurrences of '111' in binary expansion of n.

Occurrences of '1111' in binary expansion of n.

Inverse of 75th cyclotomic polynomial.

Number of primes between n^2 and (n+1)^2.

Inverse of 77th cyclotomic polynomial.

Inverse of 78th cyclotomic polynomial.

Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.

Sum of a square and a prime.

Numbers that are not the sum of a square and a prime.

Numbers that are the sum of 2 primes.

Numbers that are not the sum of 2 primes.

Inverse of 84th cyclotomic polynomial.

Inverse of 85th cyclotomic polynomial.

Molien series for real extraspecial group 2^{1+2*3} of degree 8 and order 128 formed from tensor products of Pauli matrices (0,1, 1,0) and (1,0, 0,-1).

Inverse of 87th cyclotomic polynomial.

a(n) = a(n-1)+a(n-4).

a(n)=a(n-1)+a(n-4).

Inverse of 90th cyclotomic polynomial.

Inverse of 91st cyclotomic polynomial.

a(n) = a(n-1) + a(n-4), starting 1,1,1,3.

Inverse of 93rd cyclotomic polynomial.

Expansion of (eta(q^2) / eta(q))^24 in powers of q.

Inverse of 95th cyclotomic polynomial.

Second hexagonal numbers: a(n) = n*(2*n + 1).

a(n) = n*(2*n + 3).

a(n) = n*(2*n-3).

Inverse of 99th cyclotomic polynomial.

Number of possible circular rhymes of n strophes.

Number of ordered ways of writing n as a sum of 4 squares of nonnegative integers.