Normalized convolution of… to Twin primes of the form $(3^n -…
- Normalized convolution of \(\binom{6k}{3k}\binom{3k}{k}\)
- Primorial squared plus one
- Sequence \(a(n) = n + \lfloor n r / t \rfloor + \lfloor n s / t \rfloor\)
- Linear recurrence \(a(n) = 5a(n-1) - 8a(n-2)\) with \(a(0)=0, a(1)=1\)
- Representations of \(n = p + q + (n \bmod 2)q\) with Jacobi symbol constraints
- Number of distinct sums of distinct proper divisors of \(n\)
- Size of smallest subset of \(\{1, 2, \dots, n\}\) with distinct subset sums
- Denominator of \(B_{n+1}(x) - B_{n+1}\)
- Number of primes of the form \(2^n \pm 2^k \pm 1\) with \(0 \le k < n\)
- Primes of the form \(3^n \pm 3^k \pm 1\)
- Lerch quotients of odd primes
- Position of \(n\)-th partial sum of the harmonic series when jointly ranked with \(\{\log(k+1)\}\)
- Expansion of \(\sum_{n \ge 0} \frac{(3n)!}{n!^3} \frac{x^{2n}}{(1-x)^{3n+1}}\)
- Least integer \(m > 1\) dividing no sum of two distinct primorials up to \(P_n\)
- Integrality and supercongruences of the factorial ratio \(\frac{(6n)! n!}{(3n)! (2n)!^2}\)
- Sequence \(\frac{(8n)! n!}{(4n)! (3n)! (2n)!}\)
- Balanced walks on a 4-dimensional cubic lattice with neighbor steps
- Partial sums of \((-1)^{k - \Omega(k)}\)
- Remainder of \(2^{n+2}\) modulo \(n\)
- Twin primes of the form \((3^n - k) 2^n \pm 1\)
Loading dependency explorer…
The dependency explorer needs JavaScript and its graph data.