53954

Appears in sequences

• G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=44A003405
• Sum of absolute values of coefficients of expansion of (1-x)(1-x^2)(1-x^3)...(1-x^n).at n=43A061553
• a(n) = 625*n^2 - 886*n + 314.at n=9A157618
• Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-2n+2)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1, P(1,x)=x-1.at n=62A185997
• The records for distance squared for step lengths between adjacent primes in A330979, the visited primes for a walk stepping to the closest unvisited prime on the Ulam Spiral.at n=27A331027
• Numbers k such that the equation x^2 - k*y^4 = -1 has a solution for which |y| > 2.at n=27A356488