-317811
domain: Z
Appears in sequences
- a(n+2) = -a(n+1) + a(n) (signed Fibonacci numbers) with a(-2) = a(-1) = 1; or Fibonacci numbers (A000045) extended to negative indices.at n=30A039834
- An inverse Catalan transform of Fibonacci(2n).at n=27A100334
- An inverse Catalan transform of Fibonacci(2n).at n=28A100334
- Expansion of (-3*x^3-18*x^2+14*x-1)/(3*x^4-5*x^2+4*x-1).at n=30A103135
- Expansion of (x-1)*(x+1) / (8*x^2 + 1 - 3*x + x^4 - 3*x^3).at n=13A108196
- a(n) = A000045[n]*(A004001[n + 1] - 2*A004001[n] + A004001[n - 1]).at n=27A120473
- First differences of A135992.at n=28A135994
- Binomial transform of 1, 1, 0, -1, -1 (periodically continued).at n=26A138003
- a(n) = a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=-1.at n=30A152163
- a(n)=Product_{k=1..floor((n-1)/2)} (1 + 4*cos(k*Pi/n)^2)*(1 - 4*sin(k*Pi/n)^2).at n=28A152191
- a(n+4) = a(n+3) - 2*a(n+2) - a(n+1) - a(n), starting with (0, 1, 0, -2).at n=28A173344
- a(n) = (-1)^floor( (n-1) / 3 ) * F(n), where F = Fibonacci.at n=28A236191
- a(n) = Fibonacci(n) * A128834(n).at n=28A306637