262125

Appears in sequences

• Eulerian numbers (Euler's triangle: column k=2 of A008292, column k=1 of A173018).at n=18A000295
• Mu-molecules in Mandelbrot set whose seeds have period n.at n=18A006876
• Distinct elements occurring in triangle of Eulerian numbers (sorted).at n=27A030196
• Numerator of Sum_{i=1..n} i/2^i.at n=17A036295
• (Sum of digits of n)^6 - (sum of digits of n^6).at n=8A069980
• 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=17A073331
• Expansion of (-1+3*x-5*x^2+4*x^3) / ((1-2*x)*(2*x^2-1)*(x-1)^2).at n=17A114960
• a(n) = 2^(n+1) - n - 2, or partial sums of main diagonal of array A125127 of k-step Lucas numbers.at n=16A125128
• Expansion of e.g.f. e^(2x)-(1+x)*e^x+x.at n=18A130103
• Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1000-1111-1000 pattern in any orientation.at n=19A147127
• a(n) = 4^n - 2*n - 1.at n=8A289255
• Number of even permutations on {1,2,...,n} with exactly 2 weak excedances.at n=19A293046
• Expansion of Sum_{k>=1} x^k/(1 + k*x^k).at n=37A308367
• Dirichlet convolution of A011782 [2^(n-1)] with A055615 (Dirichlet inverse of n).at n=18A349570
• Number of Grassmannian permutations of size n that avoid a pattern, sigma, where sigma is a pattern of size 10 with exactly one descent.at n=19A362197