3294720

Appears in sequences

• a(n) = 2^n * (2*n)! / (n!)^2.at n=8A059304
• Triangle T(n,k) = d(n-k,n), 0 <= k <= n, where d(l,m) = Sum_{k=l..m} 2^k * binomial(2*m-2*k, m-k) * binomial(m+k, m) * binomial(k, l).at n=29A067001
• Number of rooted unicursal planar maps with n edges and exactly one vertex of valency 1 (unicursal means that exactly two vertices are of odd valency; there is an Eulerian path).at n=8A069722
• E.g.f. BesselI(0,2*sqrt(2)*x) + BesselI(1,2*sqrt(2)*x)/sqrt(2).at n=16A098660
• Expansion of (sqrt(1-8*x^2)+8*x^2+2*x-1)/(2*x*sqrt(1-8*x^2)).at n=16A103973
• An inverse Chebyshev transform of n^3.at n=16A107233
• Coefficients of a polynomial representation of the integral of 1/(x^4 + 2*a*x^2 + 1)^(n+1) from x = 0 to infinity.at n=34A126936
• Number triangle T(n,k) = 2^(n-k)*C(2*n,n-k).at n=36A128417
• a(n) = binomial(n+8,8) * 2^n.at n=8A140325
• Triangle T(n, k) = Sum_{j=0..n} (2*n)!/((2*n-k-j)!*j!*k!), read by rows.at n=44A141723
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max(3i-j, 3j-i), as in A204156.at n=48A204157
• 8-quantum transitions in systems of N >= 8 spin 1/2 particles, in columns by combination indices.at n=20A213350
• Square array read by antidiagonals downwards: super Patalan numbers of order 4.at n=40A248325
• T(n,k) = Sum_{j=1..n} 2^j*binomial(2*n-2*j, n-j)*binomial(n+j, n)*binomial(j, k), triangle read by rows (n >= 0 and 0 <= k <= n).at n=34A335183
• Series expansion of 1/sqrt(8*x^2 + 1), even powers only.at n=8A343842
• Maximum number of ways in which a set of integer-sided squares can tile an n X 3 rectangle, up to rotations and reflections.at n=25A362261
• Triangle read by rows: T(n, k) = 2^(2*n)*JacobiP(n - k, k, -1/2 - n, -1).at n=40A380865