262087

Appears in sequences

• a(0) = 1, a(1) = 2, a(n) = 4*a(n-1) - a(n-2).at n=10A001075
• a(2*n) = a(2*n-1) + a(2*n-2), a(2*n+1) = 2*a(2*n) + a(2*n-1); a(0) = a(1) = 1.at n=20A002531
• a(n) = (1 + a(n-1)*a(n-2))/a(n-3), a(0) = a(1) = a(2) = 1.at n=21A005246
• Numbers k such that any group of k consecutive integers has integral standard deviation (viz. A011944(k)).at n=5A011943
• Numerators of continued fraction convergents to sqrt(12).at n=9A041016
• Numerators of continued fraction convergents to sqrt(48).at n=9A041082
• Numerators of continued fraction convergents to sqrt(363).at n=3A041686
• Numbers n such that the Diophantine equation (x+2)^3-x^3=2*n^2 has solutions.at n=5A102344
• Expansion of (1+x+5x^2+2x^3) / (1-4x^2+x^4).at n=21A108413
• a(2*n) = A001570(n), a(2*n+1) = A011943(n+1).at n=9A110293
• Expansion of (1-x)*(2*x^2-4*x+1)/(1-2*x+5*x^2-4*x^3+x^4).at n=18A131039
• Expansion of (1-x)*(2*x^2-4*x+1)/(1-2*x+5*x^2-4*x^3+x^4).at n=19A131039
• Interleave denominators and numerators of convergents to sqrt(3).at n=29A140827
• Numerators of principal and intermediate convergents to 3^(1/2).at n=28A143642
• Denominators of continued fraction convergents to sqrt(3)/2.at n=10A144536
• a(n) = 29282*n^2 - 484*n + 1.at n=2A157610
• Numerators of fractions x^n + y^n, where x + y = 1 and x^2 + y^2 = 2.at n=19A173299
• Array of (k^n + k^(-n))/2 where k = (sqrt(x^2-1) + x)^2 for integers x >= 1.at n=22A188644
• Generalized Markoff numbers: largest number a in a 5-tuple a >= b >= c >= d >= e satisfying the Markoff(5) equation a^2 + b^2 + c^2 + d^2 + e^2 = 4*a*b*c*d*e.at n=25A229241
• a(n) = 16*n^5 - 20*n^3 + 5*n.at n=7A243131