53344

Appears in sequences

• n*a(n) = 2*(2*n-1)*a(n-1) + 4*(n-1)*a(n-2) with a(0) = 1.at n=8A006139
• Duplicate of A006139.at n=8A084607
• Square array of expansions of 1/sqrt(1-4x-4*k*x^2), read by antidiagonals.at n=46A110135
• Triangle of Delannoy paths counted by number of diagonal steps not preceded by an east step.at n=36A110446
• Irregular triangle read by rows: coefficients of minimal polynomial of a certain algebraic number S2(2*k) from Q(2*cos(Pi/(2*k))) related to the regular (2*k)-gon.at n=34A228782
• Expansion of 1/(1 - x*Sum_{k>=0} x^(k^3)).at n=23A302019
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 2*k*x + k*(k-4)*x^2).at n=63A307910
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(2*j,j) * binomial(k*j,n-j).at n=53A361830
• Consecutive states of the linear congruential pseudo-random number generator 237*s mod (2^16+1) when started at s=1.at n=8A385080
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 4*k*x - 4*x^2).at n=53A386621
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 4*x - (2*k*x)^2).at n=53A387466