3263442

Appears in sequences

• a(n) = a(n-1)^2 + a(n-1), a(0)=1.at n=5A007018
• Consider the mapping f(a/b) = (a - b)/(ab). Taking a = 2 and b = 1 to start with and carrying out this mapping repeatedly on each new (reduced) rational number gives the following sequence 2/1,1/2,-1/2,-3/-2,-1/6,... Sequence contains the denominators.at n=10A081478
• a(1) = 1, a(n) = Sum_{d | n and d < n} a(d)^2 for n > 1.at n=63A082588
• a(0) = a(1) = 1; thereafter a(n) = a(n-1) + a(n-2) if n is even, otherwise a(n) = a(n-1)^2.at n=10A269265
• Irregular table read by rows: T(0,0) = 2 and T(n,2k) = T(n-1,k)+1, T(n,2k+1) = T(n-1,k)*(T(n-1,k)+1) for 0 <= k < 2^(n-1).at n=30A273317
• Alternate version of A273317 with rows sorted in ascending order.at n=30A273338
• Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where A(n,k) is defined by the following: A(1,k) = k and A(n,k) = A(n-1,k)*(A(n-1,k)+1) for n > 1.at n=19A298484
• Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where A(n,k) is defined by the following: A(1,k) = k and A(n,k) = A(n-1,k)*(A(n-1,k)+1) for n > 1.at n=20A298484
• Distinct values of A343511.at n=12A341337
• a(n) = 1 + Sum_{d|n, d < n} a(d)^2.at n=31A343511
• The third of four solutions to a Monthly problem asking if there exist finite sequences 1 < a(1) < a(2) < ... < a(n) such that Sum_i 1/a(i) = 1 and gcd(a(i), a(i+1)) = 1 for 1 <= i < n.at n=9A346605
• a(n) = phi(A000058(n)) where phi is the Euler totient function and A000058 is Sylvester's sequence.at n=5A367132