12752041

Appears in sequences

• Squares of Lucas numbers.at n=17A001254
• Associated Mersenne numbers.at n=34A001350
• A Fielder sequence: a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4.at n=34A001638
• Alternate Lucas numbers - 2.at n=17A004146
• Number of restricted circular combinations.at n=32A006499
• Squares of odd Lucas numbers.at n=11A014730
• Expansion of (1+x^2)/(1-2*x+x^3).at n=32A014739
• a(n) = Lucas(n+1) + (3*(-1)^n - 1)/2.at n=33A074392
• a(n) = Lucas(4*n+2)-2 = Lucas(2*n+1)^2.at n=8A081071
• a(n) is the number of images of the border correlation function for binary words of length n (cf. link).at n=33A091838
• a(2n) = Lucas(2n+3)^2, a(2n+1) = Lucas(2n+1)^2.at n=14A105671
• a(2n) = Lucas(2n+3)^2, a(2n+1) = Lucas(2n+1)^2.at n=17A105671
• a(2n) = -5*(fibonacci(6n+2))^2, a(2n+1) = (lucas(6n+5))^2.at n=5A108791
• a(n) = Product_{k=1..n} (1 + 4*sin(2*Pi*k/n)^2).at n=17A152152
• Logarithmic derivative of the squares of the Fibonacci numbers (A007598, with offset).at n=16A173661
• a(n) = -4 + 5*Fibonacci(n+1)^2.at n=16A200408
• The simple continued fraction expansion of F(x) := Product_{n >= 0} (1 - x^(4*n+3))/(1 - x^(4*n+1)) when x = 1/2*(3 - sqrt(5)).at n=33A221364
• Numbers that are both averages of consecutive primes and nontrivial prime powers.at n=20A263675
• Incorrect duplicate of A004146.at n=16A275571
• Expansion of x*(1 + 2*x)/((1 - x)*(1 + x)*(1 - x - x^2)).at n=33A301653