-1783

Appears in sequences

• Expansion of sqrt((1-x+8*x^2)/(1-x)^3).at n=15A108781
• a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=12A117081
• A symmetrical triangle sequence based on:q=2/12;t(n,m,q)=12*(Binomial[n, m]*(1 - q) + (((n + m + 1)!/((n + 1)!* m!)) + ((2*n - m + 1)!/((n + 1)!*(n - m)!)))*q).at n=22A174949
• A symmetrical triangle sequence based on:q=2/12;t(n,m,q)=12*(Binomial[n, m]*(1 - q) + (((n + m + 1)!/((n + 1)!* m!)) + ((2*n - m + 1)!/((n + 1)!*(n - m)!)))*q).at n=26A174949
• a(n) = 8*n^3 - 449*n^2 + 7967*n - 45523.at n=20A253045
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 137", based on the 5-celled von Neumann neighborhood.at n=27A270277