43261

Properties

Appears in sequences

• Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x^2 + y^2 + z^2 = 3*x*y*z.at n=26A002559
• Primes of form k^2 - 3.at n=34A028874
• Markov numbers satisfying region 5 (x=5) of the equation x^2 + y^2 + z^2 = 3xyz.at n=8A030452
• a(n) = 2*a(n-1) + a(n-2) + 1, a(0) = 1, a(1) = 2.at n=12A098790
• Non-Fibonacci Markoff numbers.at n=14A111032
• Nonnegative integers n such that 2n^2 + 2n - 3 is square.at n=12A124124
• Markov numbers that are prime.at n=13A178444
• Number of (n+1)X2 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors.at n=5A205048
• Number of (n+1)X7 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors.at n=0A205053
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors.at n=15A205055
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors.at n=20A205055
• Numbers k where d/k reaches a new record, with d the distance from the k-th triangular number to the nearest square.at n=16A229117
• Primes p which are floor of Root-mean-cube (RMC) of prime(n), prime(n+1) and prime(n+2).at n=17A239941
• Primes of the form k!6+36, where k!6 is the sextuple factorial number (A085158).at n=5A288618
• Second member m_2(n) of the Markoff triple MT(n) with largest member m(n) = A002559(n), and smallest member m_1(n) = A305313(n), for n >= 1. These triples are conjectured to be unique.at n=38A305314
• Irregular triangle read by rows: Maximal numbers of the Markoff triples at level L of the Markoff tree, with members of the triples ordered increasingly.at n=28A327345
• Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = -3.at n=28A336801
• Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = -3.at n=25A341077
• Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 5.at n=29A341079
• Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2-D*y^2=5.at n=26A341081