974169
domain: N
Appears in sequences
- a(n) = a(n-1) + a(n-3) + a(n-4), a(0) = a(1) = a(2) = 1, a(3) = 2.at n=30A006498
- Squared Fibonacci numbers: a(n) = F(n)^2 where F = A000045.at n=16A007598
- Squares of odd Fibonacci numbers.at n=10A014728
- Sum_{i=0..2n} (C(2n,i) mod 2)*Fibonacci(i+2) = Sum_{i=0..n} (C(n,i) mod 2)*Fibonacci(2i+2).at n=14A048757
- a(n) = Fibonacci(2n)^2.at n=8A049684
- Lesser of twin numbers (differing by 1) of the form F(i)^2 + F(j)^3 (A045704), where F() are Fibonacci numbers.at n=25A063907
- Partial sums of A001654, or sum of the areas of the first n Fibonacci rectangles.at n=15A064831
- a(n)-1, a(n) and a(n)+1 form three consecutive integers that can be factored into Fibonacci numbers.at n=17A065885
- a(n) = Sum_{i = 0..floor(n/2)} (-1)^(i + floor(n/2)) F(2*i + e), where F = A000045 (Fibonacci numbers) and e = (1-(-1)^n)/2.at n=31A074677
- Sum_{i=0..2*A053645(n)} (C(2*A053645(n),i) mod 2)*A000045(n-i) [where C(r,c) is the binomial coefficient (A007318) and A000045(n) is the n-th Fibonacci number].at n=30A075149
- Antidiagonal sums of triangle A035317.at n=29A080239
- Positive values of k such that there is exactly one permutation p of (1,2,3,...,k) such that i+p(i) is a Fibonacci number for 1<=i<=k.at n=28A097083
- a(n) = a(n-1) + a(n-3) + a(n-4) for n > 3, a(0) = -1, a(1) = 1, a(2) = 2, a(3) = 1.at n=31A111569
- Number of derangements of [n] avoiding the patterns 123, 132 and 213.at n=29A114215
- Product_{k=1..floor((n-1)/2)} (1 + 4*cos(k*Pi/n)^2)*(1 + 4*sin(k*Pi/n)^2).at n=16A152189
- a(n) = Product_{k=1..floor((n-1)/2)} (1 + 4*cos(2*Pi*k/n)^2).at n=32A152192
- Squares s(n) such that cube(n)-square(n)-1 and cube(n)+square(n)+1 are primes.at n=25A155931
- Squares that are a sum of two Fibonacci numbers plus the square of a Fibonacci number.at n=36A179459
- Number of n X 1 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,1,3,4 for x=0,1,2,3,4.at n=29A195971
- A204521(n)^2 = floor[A055812(n)/5]: Squares which written in base 5, with some digit appended, yield another square.at n=12A203719