34892

Appears in sequences

• Floor( n(n+1)(n+2)...(n+7) / (n+(n+1)+(n+2)+...+(n+7)) ).at n=3A032777
• Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having k low humps. (A hump is an upstep followed by 0 or more flatsteps followed by a downstep. A low hump is a hump that starts at level zero.).at n=57A097887
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, 1), (1, 0, -1)}.at n=12A148073
• a(n) = index of second occurrence of A161926(n) in A114381.at n=17A161927
• Partial sums of A243980.at n=30A244050
• a(0)=1; for n >= 1, a(n) is the number of subsets of [a(0), a(1), ..., a(n-1)] whose sum is equal to a(n-1).at n=31A265853
• Expansion of (1/x) * Series_Reversion( x / (1 + x^2 / (1 - x)^2) ).at n=12A389245
• Expansion of e.g.f. (1/2) * (exp(1/(1 - x)^2 - 1) + 1).at n=6A390373