165313

Properties

Appears in sequences

• Number of colored labeled n-node graphs with 2 interchangeable colors.at n=6A000684
• Number of binary necklaces of length n with no subsequence 000.at n=24A093305
• Primes p = a^2 + b^2 such that (x - a)^2 + (y - b)^2 = 2 and q - p = 4, where q = x^2 + y^2 is prime, assuming that a > b > 0 and x > y > 0.at n=10A217674
• Primes which are the arithmetic mean of the squares of four consecutive primes.at n=15A234364
• E.g.f.: Sum_{n>=0} x^n * cosh(2^n*x) / n!.at n=7A340451
• E.g.f.: Sum_{n>=0} x^n * sinh(2^n*x) / n!.at n=6A340452
• Array read by antidiagonals: T(n,k) = n! * Sum_{s} 2^(Sum_{i=1..k-1} s(i)*s(i+1))/(Product_{i=1..k} s(i)!) where the sum is over all nonnegative compositions s of n into k parts.at n=51A361950
• Prime numbersat n=15116