20068

Appears in sequences

• Number of partitions of 3n-1 into n nonnegative integers each no more than 6.at n=27A001978
• a(n) = a(n - 1) - 2*a(n - 2) + a(n - 3) - 4*a(n - 4) + 2*a(n - 5).at n=28A122581
• Expansion of eta(q^3) * eta(q^33) / ( eta(q)* eta(q^11)) in powers of q.at n=47A128663
• 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, 0, 0), (-1, 0, 1), (0, 1, -1), (1, 0, 0)}.at n=10A148561
• Expansion of Product_{k>=0} 1/(1 - x^(3*k+1))^2.at n=42A261616
• G.f.: Sum_{n>=0} (x^n + i)^n / (1 + i*x^n)^(n+1), in which the constant term is taken to be 1.at n=57A323689
• a(n) = Sum_{j=0..n} p(n - j, j) where p(n, x) = Sum_{k=0..n} k! * abs(Stirling1(n, k)) * x^k.at n=7A372349