65519

Properties

Appears in sequences

• Eulerian numbers (Euler's triangle: column k=2 of A008292, column k=1 of A173018).at n=16A000295
• Mu-molecules in Mandelbrot set whose seeds have period n.at n=16A006876
• Distinct elements occurring in triangle of Eulerian numbers (sorted).at n=22A030196
• Numerator of Sum_{i=1..n} i/2^i.at n=15A036295
• Number of periodic palindromic structures using a maximum of six different symbols.at n=18A056507
• Primes -p+2^n with smallest p prime, arising in A057674.at n=15A057674
• Prime numbers in the triangle of Eulerian numbers.at n=4A065050
• Smallest k such that S(n) = d(n+k), where S(n) is the Kempner function (A002034) and d(n) is the number of divisors of n (A000005).at n=15A073331
• Primes p such that 13 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=29A080188
• Numerator of the probability that the sum of n uniform picks on [0,1] is first greater than 2 (i.e., the sum of n-1 is not).at n=16A090137
• Primes p such that tau(p-1)+tau(p+1) is larger than for any previous term. (Smallest prime sandwiched between more composite numbers.)at n=33A090481
• Primes with a single 0 bit in their binary expansion.at n=33A095078
• Primes of the form A000295(k) = 2^k - k - 1.at n=3A099440
• a(n) = -1 + Product_{k=1..n} Fibonacci(k).at n=7A103815
• Expansion of (-1+3*x-5*x^2+4*x^3) / ((1-2*x)*(2*x^2-1)*(x-1)^2).at n=15A114960
• a(n) = 2^(n+1) - n - 2, or partial sums of main diagonal of array A125127 of k-step Lucas numbers.at n=14A125128
• Primes of the form k^4-k-1.at n=8A126422
• a(n) = n^4 - n - 1.at n=15A126423
• Expansion of e.g.f. e^(2x)-(1+x)*e^x+x.at n=16A130103
• Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) + m*k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 3, read by rows.at n=37A157149