33385281

Appears in sequences

• a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 2.at n=35A001610
• a(n) = F(2n+1) + F(2n-1) - 1.at n=18A005592
• a(n) = floor(phi^n), where phi = (1+sqrt(5))/2 is the golden ratio.at n=36A014217
• a(n) = Fibonacci(n-1) + Fibonacci(n+1) - (-1)^n.at n=36A098600
• a(n) = Lucas(3*n) - 1.at n=12A100233
• a(n) = L(3*n)/L(n), where L(n) = Lucas number.at n=18A110391
• Odd numbers in A138123.at n=34A142248
• Odd terms in A014217.at n=18A142718
• Continued fraction expansion for exp( Sum_{n>=1} 1/(n*A014448(n)) ), where A014448(n) = (2+sqrt(5))^n + (2-sqrt(5))^n.at n=17A174506
• a(n) = a(n-1) + a(n-2) + (-1)^n, with a(0)=0 and a(1)=1.at n=37A181716
• Number of nonempty subsets of {1, ..., n} containing no two cyclically successive elements.at n=36A324015
• a(n) = (-1)^n * A000032(n) - 1.at n=36A355021