67108837

Properties

Appears in sequences

• Eulerian numbers (Euler's triangle: column k=2 of A008292, column k=1 of A173018).at n=26A000295
• Numerator of Sum_{i=1..n} i/2^i.at n=25A036295
• Prime numbers in the triangle of Eulerian numbers.at n=7A065050
• 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=26A090137
• Primes of the form A000295(k) = 2^k - k - 1.at n=4A099440
• Expansion of (-1+3*x-5*x^2+4*x^3) / ((1-2*x)*(2*x^2-1)*(x-1)^2).at n=25A114960
• a(n) = 2^(n+1) - n - 2, or partial sums of main diagonal of array A125127 of k-step Lucas numbers.at n=24A125128
• Expansion of e.g.f. e^(2x)-(1+x)*e^x+x.at n=26A130103
• a(n) is the smallest prime p>2 such that there are 2*n or 2*n+1 positive integers m for which the exponents of 2 and p in the prime power factorization of m! are both powers of 2.at n=21A177378
• a(n) = 2^n - 27.at n=26A220087
• Primes of the form sigma(k) - tau(k), where sigma(k) = A000203(k) and tau(k) = A000005(k).at n=17A229268
• Prime numbers of the form 4^k - 27.at n=5A275750
• a(n) = 4^n - 2*n - 1.at n=12A289255
• Number of even permutations on {1,2,...,n} with exactly 2 weak excedances.at n=27A293046
• Prime numbersat n=3957808