39533

Appears in sequences

• Number of permutations of length n which avoid the patterns 3214, 4123, 4132.at n=9A116738
• Number of partitions of n where odd parts are distinct or repeated once.at n=48A131945
• G.f.: A(x,y) = exp( Sum_{n>=1} [Sum_{k=0..n} C(n,k)^3*y^k] * x^n/n ) = Sum_{n>=0,k=0..n} T(n,k)*x^n*y^k, as a triangle of coefficients T(n,k) read by rows.at n=39A181143
• G.f.: A(x,y) = exp( Sum_{n>=1} [Sum_{k=0..n} C(n,k)^3*y^k] * x^n/n ) = Sum_{n>=0,k=0..n} T(n,k)*x^n*y^k, as a triangle of coefficients T(n,k) read by rows.at n=41A181143
• a(n) = (n+1)*Sum_{i=0..n/2}((binomial(n-i,i))*binomial(2*(n-2*i),(n-2*i))/(n-2*i+1)^2).at n=10A270595