56358

Appears in sequences

• Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3)=j^3+k^3, ordered by increasing i; sequence gives k values.at n=27A054207
• Triangle read by rows in which T(n,k) is the number of permutations avoiding 132 of length n with an independent set of size k in its coregraph.at n=54A262370
• Number of self-avoiding planar walks of length n starting at (0,0), ending on the x-axis, remaining in the first quadrant and using steps (0,1), (1,0), (1,1), (-1,1), and (1,-1) with the restriction that (0,1) is never used below the diagonal and (1,0) is never used above the diagonal.at n=12A284415
• G.f.: Sum_{n>=0} x^n * (1 + x^n)^n / (1 - x^(n+1))^(n+1).at n=66A325046