45765225
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=38A006498
- Squared Fibonacci numbers: a(n) = F(n)^2 where F = A000045.at n=20A007598
- Squares of odd Fibonacci numbers.at n=13A014728
- a(n) = Fibonacci(2n)^2.at n=10A049684
- Lesser of twin numbers (differing by 1) of the form F(i)^2 + F(j)^3 (A045704), where F() are Fibonacci numbers.at n=31A063907
- Partial sums of A001654, or sum of the areas of the first n Fibonacci rectangles.at n=19A064831
- a(n)-1, a(n) and a(n)+1 form three consecutive integers that can be factored into Fibonacci numbers.at n=21A065885
- 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=39A074677
- Antidiagonal sums of triangle A035317.at n=37A080239
- 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=36A097083
- 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=39A111569
- Number of derangements of [n] avoiding the patterns 123, 132 and 213.at n=37A114215
- Product_{k=1..floor((n-1)/2)} (1 + 4*cos(k*Pi/n)^2)*(1 + 4*sin(k*Pi/n)^2).at n=20A152189
- a(n) = Product_{k=1..floor((n-1)/2)} (1 + 4*cos(2*Pi*k/n)^2).at n=40A152192
- a(n) = Fibonacci(n+1)^tau(n).at n=18A168138
- 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=37A195971
- A204521(n)^2 = floor[A055812(n)/5]: Squares which written in base 5, with some digit appended, yield another square.at n=15A203719
- Numbers n such that n^2 - 1 is the product of four distinct Fibonacci numbers greater than 1.at n=35A242074
- Number of (2+1) X (n+1) arrays of permutations of 0..n*3+2 with each element having index change +-(.,.) 0,0 1,2 or 2,2.at n=12A264018
- Number of nX4 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=17A301960