17480761
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=36A006498
- Squared Fibonacci numbers: a(n) = F(n)^2 where F = A000045.at n=19A007598
- Squares of odd Fibonacci numbers.at n=12A014728
- Lesser of twin numbers (differing by 1) of the form F(i)^2 + F(j)^3 (A045704), where F() are Fibonacci numbers.at n=30A063907
- a(n)-1, a(n) and a(n)+1 form three consecutive integers that can be factored into Fibonacci numbers.at n=20A065885
- 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=37A074677
- a(n) = (Lucas(4*n+2) + 2)/5, or Fibonacci(2*n+1)^2, or A081067(n)/5.at n=9A081068
- a(n)= 3*a(n-1) -3*a(n-3) +a(n-4), n>6.at n=20A107840
- 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=37A111569
- Number of derangements of [n] avoiding the patterns 123, 132 and 213.at n=35A114215
- Three consecutive elements of the sequence built from a quadratic form over four consecutive Fibonacci numbers A000045.at n=14A114695
- a(n) = Product_{k=1..floor((n-1)/2)} (1 + 4*cos(2*Pi*k/n)^2).at n=38A152192
- A product of consecutive doubled Fibonacci numbers.at n=19A166516
- 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=35A195971
- a(n) = F(n+1)^2, if n>=0 is even (F=A000045) and a(n) = (L(2n+2)+8)/5, if n is odd (L=A000204).at n=18A208176
- Number of 2 X n arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor.at n=9A221088
- Numbers n such that n^2 - 1 is the product of four distinct Fibonacci numbers greater than 1.at n=33A242074
- Number of (n+1) X (2+1) arrays of permutations of 0..n*3+2 with each element having index change +-(.,.) 0,0 0,1 or 2,-2.at n=10A264085
- Number of (n+1) X (2+1) arrays of permutations of 0..n*3+2 with each element having index change +-(.,.) 0,0 0,2 or 1,1.at n=10A264106
- a(n) = a(n-1) + a(n-3) + a(n-4), where a(0) = 1, a(1) = 1, a(2) = 1, a(3) = -2.at n=42A295672