37666

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=25A002559
• Taylor series related to one in Ramanujan's Lost Notebook.at n=31A006305
• Integer part of log(n!)^(1 + log(log(1 + n))).at n=36A062475
• a(n+1) = (a(n)^2 + a(n-1)^2)/a(n-2), with a(1) = a(2) = a(3) = 1.at n=7A064098
• a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime.at n=41A101042
• A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime.at n=37A101043
• d such that the smallest prime p for which p+d is also prime is larger than for any smaller d.at n=15A101046
• Non-Fibonacci Markoff numbers.at n=13A111032
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (-1, 0, 1), (1, -1, 1), (1, 1, 0)}.at n=9A149283
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, 1), (1, 0, 1), (1, 1, -1)}.at n=8A150550
• G.f. satisfies A(x) = x + x*A(A(A(A(x)))).at n=6A196523
• Composite Markoff numbers.at n=11A256395
• 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=48A305314
• 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=9A327345
• Alternative version of the Markov tree A327345.at n=12A368546