537472

Appears in sequences

• a(0) = 1; for n > 0, a(n) = binomial(n, floor(n/2)) + binomial(n-1, floor(n/2)).at n=21A050168
• a(n) = C(n)*(3n+2) where C(n) = Catalan numbers = A000108.at n=10A051960
• 1/512 of 11th unsigned column of triangle A053120 (T-Chebyshev, rising powers, zeros omitted).at n=11A054334
• a(n) = (5*n + 9)*binomial(n+8, 8)/9.at n=11A055844
• Row sums of a matrix associated to the inverse of a Catalan scaled binomial matrix.at n=11A098510
• a(n) = x(n) * 2^((n mod 2 - 1)/2), with x(n)=Sum(x(k)*x(n-k-1):0<=k<n), x(0)=SQRT(2).at n=10A137697
• Number of partitions of n^2 that are the sum of n not necessarily distinct partitions of n into distinct parts.at n=11A284911
• G.f.: 1/(1 - x^2/(1 - x^3/(1 - x^5/(1 - x^7/(1 - x^11/(1 - ... - x^prime(k)/(1 - ... ))))))), a continued fraction.at n=46A285407