Catalan numbers modulo \(6\) to Sum of a triangular number, a…
- Catalan numbers modulo \(6\)
- A GCD-Driven Sequence with Universal Jumps
- Prime values in recurrence \(a(n+1) = |a(n) - \gcd(a(n), 7n+6)|\)
- Primes \(p\) such that \(n - (p n' - 1)\) and \(n + (p n' - 1)\) are both prime
- Sums of four binary palindromes
- Refining Lagrange's four-square theorem with \((5x^2 + 7y^2 + 9z^2)yz\) a square
- Additive decompositions of \(\pi(T(n))\)
- Additive decompositions of \(\pi(\frac{n(n+1)}{2} + 1)\)
- Representations of \(n\) as \(x^2 + \phi(y^2) + \phi(z^2)\)
- Sums of a cube, a square, and a positive triangular number
- Sums of a square and three weighted cubes
- Sums of a triangular number and three weighted cubes
- Recurrence for Rule 167 cellular automaton sequence
- Maximal run lengths in the second MSB of Tribonacci numbers \(T(n)\)
- Congruences \(a(n+k) \equiv a(n) \pmod k\) for hypergeometric values \({}_2F_1(n, -n; ; -1)\)
- The 1680-Conjecture
- The cup-of-coffee sequence
- Sum of four squares with square conditions
- Period of \(p\)-th powers modulo \(n\)
- Sum of a triangular number, a generalized pentagonal number, and a generalized heptagonal number
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