228486

Appears in sequences

• Companion Pell numbers: a(n) = 2*a(n-1) + a(n-2), a(0) = a(1) = 2.at n=14A002203
• a(n) = 6*a(n-1) - a(n-2), with a(0) = 2, a(1) = 6.at n=7A003499
• Numerators of continued fraction convergents to sqrt(32).at n=13A041052
• Expansion of (1+x^2)/(1-2*x-x^2).at n=14A099425
• Square array T(M,N) read by antidiagonals: number of dimer tilings of a 2M x 2N Klein bottle.at n=43A103999
• Expansion of (1+6*x+x^2-2*x^3)/((x^2+2*x-1)*(x^2-2*x-1)), bisection is NSW numbers.at n=13A159582
• a(1)=4, a(2)=6; for n > 2, a(n) = 2*a(n-1) + a(n-2) - 4*((n-1) mod 2).at n=13A162485
• Numbers such that floor(a(n)^2 / 8) is again a square.at n=16A204514
• Array T(n,k) read by antidiagonals: T(n,k) = sum(i=0...n, (-1)^(n+i) * C(n+i,2i) * n/(2i+1) * k^(2i+1) ), n>0, k>1.at n=25A231123
• Expansion of 1/(1 - x - Sum_{k>=2} floor(1/omega(k))*x^k), where omega(k) is the number of distinct prime factors (A001221).at n=19A280543
• Squarefree numbers m such that the equation x*(x+1)*(x+2) = m*y^2 has more than one solution (x,y) with x>0 and y>0.at n=12A335715