102960

Appears in sequences

• Apéry numbers: n*C(2*n,n).at n=8A005430
• Triangle of coefficients of Legendre polynomials 2^n P_n (x).at n=26A008556
• [ exp(15/16)*n! ].at n=7A030900
• a(n) = 2^n*binomial(3*n,n)*(3*n+1).at n=4A072975
• Number of peaks at even level in all symmetric Dyck paths of semilength n+2.at n=15A088662
• Triangle of coefficients of n-th degree interpolating polynomial to sqrt(x) multiplied by 4^n.at n=37A091764
• a(n) = n * binomial(n-1, floor((n-1)/2)) = n * max_{i=0..n} binomial(n-1, i).at n=16A100071
• Max{ k!/(a(1)!*a(2)!*..*a(n)!) : a(1) + 2*a(2) + 3*a(3) + ... + n*a(n) = n, a(1) + a(2) + ... + a(n) = k }.at n=23A102462
• Expansion of 1/sqrt(1-4*x*y-4*x^2*y).at n=53A115951
• Triangle read by rows: the k-th entry of row n is the number of particular connectivity requirements that a k-linked graph with n >= 2k vertices has to satisfy T(n,k) = (1/2) * n!/(k!*(n-2*k)!) where k runs from 1 to floor(n/2).at n=38A135610
• Denominator of the polynomial A_i(x) = Sum_{d=1..i-1} x^(i-d)/d for index i=2n+1 evaluated at x=7.at n=7A145622
• a(n) = (2n+0^n)*C(4n,2n).at n=4A166337
• Numbers with prime factorization pqrs^2t^4.at n=5A190384
• (Sum of first n Fibonacci numbers) times (product of first n Fibonacci numbers).at n=6A191994
• Augmentation of the Fibonacci triangle A058071. See Comments.at n=29A193595
• a(n) = n!/([(n-1)/2]!*[(n+1)/2]!) for n>0, a(0)=0, and where [ ] = floor.at n=16A212303
• Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|>=|x-y|+|y-z|.at n=26A212574
• 3-quantum transitions in systems of N>=3 spin 1/2 particles, in columns by combination indices.at n=34A213345
• 6-quantum transitions in systems of N >= 6 spin 1/2 particles, in columns by combination indices.at n=18A213348
• 7-quantum transitions in systems of N >= 7 spin 1/2 particles, in columns by combination indices.at n=13A213349