57073

Properties

Appears in sequences

• a(n) = (1 + 24^n*(23*n - 1))/529.at n=3A014942
• a(n) = 1 + 2*n + 3*n^2 + 4*n^3.at n=24A056578
• a(n) is the denominator of f(n) where f(1) = 2 and f(n+1) is the solution of x + Sum_{i=1..n} f(i) = x * Product_{i=1..n} f(i).at n=5A100441
• Primes of the form 1 + 2*k + 3*k^2 + 4*k^3.at n=5A123059
• Primes p such that p^4 - p +/- 1 are twin primes.at n=26A236952
• Numbers k such that k*(k+1) divides tribonacci(k) (A000073(k)).at n=13A299156
• Numbers k such that the continued fraction for sqrt(k) has period 365.at n=1A378955
• a(n) is the number of five element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units.at n=25A391498
• Prime numbersat n=5787