40593

Appears in sequences

• Expansion of x^2(3+2x)/(1-x-5x^2-3x^3).at n=10A076149
• Expansion of (1-x^2)/(1-x-x^2+x^3+x^4).at n=42A101496
• Lengths of bit runs in A123504.at n=49A123505
• Expansion of (1-2*x+2*x^2-x^3)/(1-3*x+5*x^2-3*x^3+x^4).at n=21A123879
• G.f.: C(x,y)^2 - S(x,y)^2 = Sum_{n>=0} x^(2*n)*y/[Sum_{k=0..2*n+1} T(n,k)*y^k], where C(x,y) = Sum_{n>=0} x^(2*n) / Product_{k=1..2*n} (k + y) and S(x,y) = Sum_{n>=0} x^(2*n+1) / Product_{k=1..2*n+1} (k + y).at n=25A268647
• Number of periodic multisets of compositions of total weight n.at n=25A303552
• a(n) = [y^(n+1)] (n + y) * Product_{k=1..2*n} (k + y), for n >= 0.at n=4A322627