89846

Appears in sequences

• a(n) = Sum_{k=0..9} binomial(n,k).at n=17A008862
• a(n) = 2^n - C(n,0) - C(n,1) - ... - C(n,7).at n=17A035040
• Number of log-concave paths of length n starting from the origin (0,0) with steps from {N=(0,1), E=(1,0) and S=(0,-1)} that stay in the second octant and never touch the line y=x except possibly at the beginning or the end.at n=18A079280
• Expansion of (sqrt(1 - 4*x) + (1 - 2*x))/(2*(1 - 4*x)).at n=9A114121
• Expansion of ((1 + x - 2x^2) + (1+x)*sqrt(1-4x^2))/(2(1-4x^2)).at n=18A116406
• Number of walks of length n starting at origin and ending in first quadrant on a square lattice.at n=9A187151
• The difference between the two largest distinct parts of a partition (0 if no distinct parts), summed over all partitions of n.at n=35A268191
• A(n,k) = Sum_{j=0..floor(n/k)} binomial(2*n,k*j+n), square array A(n,k) read by antidiagonals, for n >= 0, k >= 1.at n=64A307665
• a(n) = number of subsets of {1,2,...,n} that contain more nonprimes than primes.at n=17A369853