167760
domain: N
Appears in sequences
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 2.at n=24A001610
- Partial sums of squares of Lucas numbers.at n=11A005970
- Number of (marked) cyclic n-bit binary strings containing no runs of length > 2.at n=24A007040
- E.g.f.: (1-x)/(1-3*x+x^2).at n=6A052568
- a(n) = Lucas(4n+1) - 1, or 5*Fibonacci(2n)*Fibonacci(2n+1).at n=6A081017
- a(n) = Lucas(n) + (-1)^n.at n=25A099925
- Numbers that are the sum of exactly two sets of Fibonacci numbers.at n=44A122194
- a(n) = A014217(n+1) - A115360(n+2).at n=23A142584
- Continued fraction expansion for exp( Sum_{n>=1} 1/(n*Lucas(n)) ), where Lucas(n) = A000032(n) = ((1+sqrt(5))/2)^n + ((1-sqrt(5))/2)^n.at n=35A174505
- Numbers that have 12 terms in their Zeckendorf representation.at n=24A179252
- List of numbers L - 1 and L, where L = A000032, the Lucas numbers, sorted into increasing order and duplicates removed.at n=47A259625
- Expansion of x*(1 + 2*x)/((1 - x)*(1 + x)*(1 - x - x^2)).at n=24A301653
- Number of nonempty subsets of {1, ..., n} containing no two cyclically successive elements.at n=25A324015
- If n even, a(n) = A000071(n/2+1); if n odd, a(n) = A001610((n-1)/2).at n=49A339572
- Starts of runs of 3 consecutive Lucas-Niven numbers (A351714).at n=31A351716