708158977

Properties

Appears in sequences

• a(0) = 1, a(1) = 2, a(n) = 4*a(n-1) - a(n-2).at n=16A001075
• Related to Bernoulli numbers.at n=15A002316
• 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=32A002531
• a(n) = 2*a(n-1)^2 - 1, starting a(0) = 2.at n=4A002812
• a(n) = (1 + a(n-1)*a(n-2))/a(n-3), a(0) = a(1) = a(2) = 1.at n=33A005246
• a(2n)=2*a(2n-2)^2-1, a(2n+1)=2*a(2n)-1, a(0)=2.at n=8A006695
• Numbers k such that any group of k consecutive integers has integral standard deviation (viz. A011944(k)).at n=8A011943
• Numerators of continued fraction convergents to sqrt(12).at n=15A041016
• Numerators of continued fraction convergents to sqrt(48).at n=15A041082
• Numerators of continued fraction convergents to sqrt(147).at n=7A041268
• Numerators of continued fraction convergents to sqrt(192).at n=15A041356
• Numerators of continued fraction convergents to sqrt(588).at n=7A042126
• Numerators of continued fraction convergents to sqrt(768).at n=15A042480
• Prime numerators of the rational convergents to sqrt(3).at n=9A096146
• Numbers n such that the Diophantine equation (x+2)^3-x^3=2*n^2 has solutions.at n=8A102344
• Expansion of (1+x+5x^2+2x^3) / (1-4x^2+x^4).at n=33A108413
• a(2*n) = A001570(n), a(2*n+1) = A011943(n+1).at n=15A110293
• Primes of the form ChebyshevT[8,n].at n=2A144132
• Denominators of continued fraction convergents to sqrt(3)/2.at n=16A144536
• Numerators of fractions x^n + y^n, where x + y = 1 and x^2 + y^2 = 2.at n=31A173299