50843527

Appears in sequences

• a(0) = 1, a(1) = 2, a(n) = 4*a(n-1) - a(n-2).at n=14A001075
• Related to Genocchi numbers.at n=14A002317
• 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=28A002531
• a(n) = (1 + a(n-1)*a(n-2))/a(n-3), a(0) = a(1) = a(2) = 1.at n=29A005246
• Numbers k such that any group of k consecutive integers has integral standard deviation (viz. A011944(k)).at n=7A011943
• Numerators of continued fraction convergents to sqrt(12).at n=13A041016
• Numerators of continued fraction convergents to sqrt(48).at n=13A041082
• Numbers n such that the Diophantine equation (x+2)^3-x^3=2*n^2 has solutions.at n=7A102344
• Expansion of (1+x+5x^2+2x^3) / (1-4x^2+x^4).at n=29A108413
• a(2*n) = A001570(n), a(2*n+1) = A011943(n+1).at n=13A110293
• Chebyshev polynomial of the first kind T(n,x), evaluated at x=n.at n=7A115066
• Expansion of (1-x)*(2*x^2-4*x+1)/(1-2*x+5*x^2-4*x^3+x^4).at n=27A131039
• Interleave denominators and numerators of convergents to sqrt(3).at n=41A140827
• Denominators of continued fraction convergents to sqrt(3)/2.at n=14A144536
• Numerators of fractions x^n + y^n, where x + y = 1 and x^2 + y^2 = 2.at n=27A173299
• Array of (k^n + k^(-n))/2 where k = (sqrt(x^2-1) + x)^2 for integers x >= 1.at n=37A188644
• 64*n^7 - 112*n^5 + 56*n^3 - 7*n.at n=7A243133
• Denominators of the other-side convergents to sqrt(3).at n=27A259592
• Numerators of the other-side convergents to sqrt(3).at n=26A259593