33284

Appears in sequences

• Numbers n such that n is a substring of its square (both n and n squared in base 4) (written in base 10).at n=32A018828
• Denominators of continued fraction convergents to sqrt(722).at n=9A042391
• Numbers n such that there is no square n-gonal number greater than 1.at n=31A188896
• Number of permutations in S_n that avoid the pattern 32541.at n=8A256204
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 260", based on the 5-celled von Neumann neighborhood.at n=48A287285
• G.f.: Sum_{n>=0} x^n * (1 - x^(n+1))^n / (1 + x^(n+1))^(n+1).at n=64A323695
• G.f.: Sum_{n>=0} x^n * (x^(n+1) + i)^n / (1 + i*x^(n+1))^(n+1).at n=64A324300
• a(n) = [x^(n^2)] Sum_{m>=0} x^m * (x^(m+1) + i)^m / (1 + i*x^(m+1))^(m+1), for n >= 0.at n=8A324301
• a(n) is the largest integer x such that x/sopf(x) = prime(n) where sopf(x) is the sum of distinct prime factors of x and prime(n) is the n-th prime.at n=36A336493
• E.g.f.: exp( (x * exp(x) - sinh(x)) / 2 ).at n=10A346746