Sequences

Apply partial sum operator 4 times to partition numbers.

Apply partial sum operator thrice to Fibonacci numbers.

Inverse of 154th cyclotomic polynomial.

Inverse of 155th cyclotomic polynomial.

Inverse of 156th cyclotomic polynomial.

Apply partial sum operator 4 times to Fibonacci numbers.

Partial sums of binary rooted tree numbers.

Apply partial sum operator twice to binary rooted tree numbers.

Apply partial sum operator thrice to binary rooted tree numbers.

Inverse of 161st cyclotomic polynomial.

Apply partial sum operator 4 times to binary rooted tree numbers.

Apply partial sum operator twice to Stern's sequence.

Apply partial sum operator thrice to Stern's sequence.

Inverse of 165th cyclotomic polynomial.

Apply partial sum operator 4 times to Stern's sequence.

Decimal expansion of the silver mean, 1+sqrt(2).

Inverse of 168th cyclotomic polynomial.

a(n) = Sum_{k = 0..n} binomial(n,k)^3*binomial(n+k,k).

Inverse of 170th cyclotomic polynomial.

a(n) = Sum_{k = 0..n} binomial(n,k)^3*binomial(n+k,k)^2.

Numbers > 9 with all digits the same.

Expansion of e.g.f. exp(1-x-exp(-x)).

Inverse of 174th cyclotomic polynomial.

Inverse of 175th cyclotomic polynomial.

Volume of (the dilation by 2) of the Relaxed Boolean Quadric polytope of order n.

Squares of palindromes.

Cubes of palindromes.

Fourth powers of palindromes.

Inverse of 180th cyclotomic polynomial.

Palindromes in base 3 (written in base 10).

Inverse of 182nd cyclotomic polynomial.

Palindromes in base 4 (written in base 10).

n-th prime + mu(n).

Inverse of 185th cyclotomic polynomial.

Inverse of 186th cyclotomic polynomial.

Inverse of 187th cyclotomic polynomial.

Number of numbers m with Euler phi(m) = n.

Number of integer solutions to x^2 + y^2 <= n excluding (0,0).

Inverse of 190th cyclotomic polynomial.

Number of solutions to x^2 + y^2 <= n, excluding (0,0), divided by 4.

Number of solutions to x^2 + x*y + y^2 <= n excluding (0,0).

Number of solutions to x^2 + x*y + y^2 <= n, excluding (0,0), divided by 6.

a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.

Inverse of 195th cyclotomic polynomial.

a(n) = (1/12)*(n+5)*(n+1)*n^2.

a(n) = n^2 + n + 2.

Inverse of 198th cyclotomic polynomial.

Next prime after n-th Fibonacci number.

a(n) = n^2 + 3*n - 1.

Next prime after 2^n.