930249
domain: N
Appears in sequences
- Numerators of continued fraction convergents to sqrt(5).at n=10A001077
- a(n) = 18*a(n-1) - a(n-2).at n=5A023039
- Numerators of continued fraction convergents to sqrt(20).at n=9A041030
- Numerators of continued fraction convergents to sqrt(80).at n=9A041142
- Numerators of continued fraction convergents to sqrt(125).at n=9A041226
- Numerators of continued fraction convergents to sqrt(500).at n=13A041954
- Numerators of continued fraction convergents to sqrt(605).at n=11A042160
- Expansion of x*(1 + x - 2*x^2) / ( 1 - 4*x^2 - x^4).at n=21A059973
- Numbers k such that k^2-1 and k^2 are consecutive powerful numbers.at n=14A060860
- a(1)=1; for n > 2, a(n) is the smallest integer > a(n-1) such that frac(sqrt(5)*a(n)) < frac(sqrt(5)*a(n-1)).at n=18A079497
- a(n) = (F(2*n-1) + F(2*n+1))*(5/6 - cos(2*Pi*n/3)/3), where F(n) = Fibonacci(n).at n=15A128052
- Numerators of continued fraction convergents to sqrt(5/4).at n=9A153316
- a(n) = 1250*n^2 - 1800*n + 649.at n=28A154358
- a(n) = cos(2*n*arccos(sqrt(n))).at n=5A173148
- a(n) = Lucas(n) - floor(Lucas(n)/2).at n=30A173495
- a(n) = floor(Lucas(n+1)/2), Lucas(n) = A000032(n).at n=29A173714
- Array of ((k^n)+(k^(-n)))/2 where k=(sqrt(x^2+1)+x)^2 for integers x>=1.at n=22A188645
- Size (b^3_n) of unit sphere in a certain graph (see Hazama article for precise definition).at n=28A199935
- Numbers such that floor(a(n)^2 / 5) is a square.at n=21A204520
- Expansion of (1-x+x^3)/(1-x^2+2*x^3-x^4).at n=30A226447