-2584
domain: Z
Appears in sequences
- E.g.f. tanh(sin(sin(x))) (odd powers only).at n=3A009791
- Expansion of exp ( - x - (1/2)*x^2 - (1/6)*x^3).at n=10A014775
- 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=20A039834
- a(n) = (-1)^(n-1)*(a(n-1) - a(n-2)), a(1)=1, a(2)=1.at n=38A051792
- a(n) = (-1)^(n-1)*(a(n-1) - a(n-2)), a(1)=1, a(2)=1.at n=41A051792
- An inverse Catalan transform of Fibonacci(2n).at n=17A100334
- An inverse Catalan transform of Fibonacci(2n).at n=18A100334
- A characteristic triangle for the Fibonacci numbers.at n=53A110033
- Triangle, read by rows, equal to the matrix inverse of Q=A113381.at n=23A114158
- Expansion of (chi(-x) * chi(-x^19))^2 in powers of x where chi() is a Ramanujan theta function.at n=43A134005
- First differences of A135992.at n=18A135994
- Binomial transform of 1, 1, 0, -1, -1 (periodically continued).at n=16A138003
- Fibonacci numbers (A000045) starting at offset -20.at n=2A147316
- a(n) = a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=-1.at n=20A152163
- Hankel transform of A157143.at n=25A157144
- a(n+4) = a(n+3) - 2*a(n+2) - a(n+1) - a(n).at n=16A173343
- a(n) = (-1)^floor( (n-1) / 3 ) * F(n), where F = Fibonacci.at n=18A236191
- a(n) = F(n) * (-1)^(n*(n-1)/2) where F(n) = A000045(n) Fibonacci numbers.at n=18A333378
- Square array A(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{j=1..n} floor(n/j) * (-k)^(j-1).at n=60A344824
- Expansion of 1 / Sum_{k>=0} x^(k*(5*k - 3)/2).at n=39A363149