155382

Appears in sequences

• Number of partitions into non-integral powers.at n=18A000345
• a(n) = Sum_{k=0..9} binomial(n,k).at n=18A008862
• a(n) = 2^(n-1) + ((1 + (-1)^n)/4)*binomial(n, n/2).at n=18A027306
• a(n) = Sum_{i=0..n} binomial(2*n, i).at n=9A032443
• a(n) = 2^n - C(n,0) - C(n,1) - ... - C(n,8).at n=18A035041
• Riordan array (1/((1-4*x)*c(x)),x*c(x)/sqrt(1-4*x)), c(x) the g.f. of A000108.at n=45A113955
• Expansion of ((1 + x - 2x^2) + (1+x)*sqrt(1-4x^2))/(2(1-4x^2)).at n=19A116406
• T(n,k)=Number of binary arrays of length n+2*k-1 with no more than k ones in any length 2k subsequence (=50% duty cycle).at n=36A212402
• 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=54A307665
• Triangle read by rows: the numerators of the Lucas triangle.at n=49A385732
• Triangle read by rows: the numerators of the Lucas triangle.at n=50A385732