329472
domain: N
Appears in sequences
- a(n) = 2^(n-5)*binomial(n,5). Number of 5D hypercubes in an n-dimensional hypercube.at n=8A054849
- Triangle of coefficients in expansion of sinh^2(n*x) in powers of sinh(x).at n=40A082649
- Triangle read by rows: T(n,m) = 4^m * (2*n+1)! / ( (2*n - 2*m + 1)! * (2*m)! ), row n has n+1 terms.at n=25A085840
- Negated coefficients of Chebyshev T polynomials: a(n) = -A053120(n+14, n), n >= 0.at n=7A209404
- 5-quantum transitions in systems of N>=5 spin 1/2 particles, in columns by combination indices.at n=20A213347
- 6-quantum transitions in systems of N >= 6 spin 1/2 particles, in columns by combination indices.at n=17A213348
- Irregular triangle read by rows: T(n,k) is the number of integers greater than 4 such that they have n trits and 2k+1 (k>=1) nonzero trits in their balanced ternary representation, with n>=3 and 1<=k<=(j-1)/2.at n=39A277513
- Coefficients of the power series expansion at p=1 of the growth rate C(p) of the length of the longest increasing path in an Erdös-Rényi graph with edge probability p.at n=23A321309
- Integer areas of integer-sided triangles where the lengths of two of the sides are cubes.at n=7A329536
- Triangle read by rows: T(n, k) = binomial(n + k - 1, 2*k - 1) * 4^(k - 1) * n/k, 1 <= k <= n.at n=40A334009
- Maximum number of copies of a 1234567 permutation pattern in an alternating (or zig-zag) permutation of length n + 11.at n=15A339358
- Triangular array: row n gives the coefficients T(n,k) of powers x^(2k) in the series expansion of ((b^n + b^(-n))/2)^2, where b = x + sqrt(x^2 + 1).at n=50A373504
- Triangle read by rows: T(n,k) = 4^k*binomial(n+k, n-k) with 0 <= k <= n.at n=49A373547