69768

Appears in sequences

• Coefficients of Chebyshev polynomials.at n=15A005584
• Number of nonseparable tree-rooted planar maps with n + 2 edges and 3 vertices.at n=15A006411
• Pisot sequence P(2,9).at n=7A021001
• Fibonacci sequence beginning 0, 27.at n=18A022361
• Base-8 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0.at n=5A037525
• a(n) = (n + 2) * binomial(3*n, n) / (2*n + 1).at n=7A052183
• Numbers occurring twice in A068627.at n=38A068628
• Variance of time for a random walk starting at 0 to reach one of the boundaries at +n or -n for the first time.at n=18A072819
• a(n) = A092914(n)/n = the least integer value of (n-1)!/(n*k!).at n=14A092916
• a(n) = 4*a(n-1) + 2*a(n-2) for n>1, with a(0)=2, a(1)=9.at n=7A107979
• Number of 3-step one or two collinear space at a time queen's tours on an n X n board summed over all starting positions.at n=18A187028
• a(n) = Fibonacci(n)*A109041(n) for n>=1, with a(0)=1, where A109041 lists the coefficients in eta(q)^9/eta(q^3)^3.at n=18A205973
• Coefficient array for the third power of the monic integer Chebyshev polynomials 2*T(2*n+1,x/2)/x as a function of x^2.at n=28A219235
• a(n) = 6*binomial(n+1,5).at n=14A253945
• Total volume of all rectangular prisms with dimensions r X s X t where r, s and t are the smallest, middle and largest parts in each partition of n into 3 parts.at n=33A307684
• a(n) = A332560(n)/A332559(n).at n=14A332561
• a(n) is the number of subsets of {1..n} that contain exactly 4 odd and 1 even numbers.at n=37A333320
• Maximum number of copies of a 1234 permutation pattern in an alternating (or zig-zag) permutation of length n + 5.at n=33A338429
• a(n) = binomial(3*n+3,n) + binomial(3*n+2,n-1) for n >= 0.at n=6A355347
• G.f.: Sum_{n=-oo..+oo} x^(n*(n+1)/2) * C(x)^(3*n-3), where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).at n=34A355348