53053

Appears in sequences

• Triangle of central factorial numbers 4^k T(2n+1, 2n+1-2k).at n=30A008958
• Partial sums of A051880.at n=10A050406
• Numbers k such that sopfr(k) = sopfr(k - sopfr(k)).at n=35A050781
• Triangle of scaled central factorial numbers, T(n,k) = A008958(n,n-k).at n=33A160562
• a(n) = n*(n+1)*(7*n^2 - n - 4)/4.at n=13A172077
• a(n) = n*(n-1)*(2*n+1)*(2*n-1)*(2*n-3)*(10*n-17)/90.at n=7A185375
• Consider a number n with m decimal digits. The sequence lists the numbers n having the prefix of length m-1 in the middle of the decimal expansion of prime(n).at n=28A242956
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 161", based on the 5-celled von Neumann neighborhood.at n=30A286165
• E.g.f.: S(x,q) = Integral C(x,q) * C(q*x,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where S(x,q) = Sum_{n>=0} sum_{k=0..n*(n+1)/2} T(n,k)*x^n*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows.at n=65A322219