3880899

Appears in sequences

• Pell-Lucas numbers: numerators of continued fraction convergents to sqrt(2).at n=18A001333
• a(0) = 1, a(1) = 3; for n > 1, a(n) = 6*a(n-1) - a(n-2).at n=9A001541
• Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2).at n=37A002965
• Numerators of continued fraction convergents to sqrt(8).at n=17A041010
• Numerators of continued fraction convergents to sqrt(50).at n=5A041084
• Numerators of continued fraction convergents to sqrt(98).at n=11A041176
• Numerators of continued fraction convergents to sqrt(200).at n=5A041370
• Numerators of continued fraction convergents to sqrt(392).at n=11A041744
• a(n) is the least natural number m such that the fractional part of m*(2^0.5) is less than 2^(-n).at n=21A058580
• Numbers k such that k^2-1 and k^2 are consecutive powerful numbers.at n=17A060860
• The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to sqrt(2).at n=50A065375
• Number of 17 X n binary arrays with a path of adjacent 1's from top row to bottom row.at n=1A069375
• Expansion of (1+x)/(1-2*x-x^2).at n=17A078057
• a(0) = a(1) = 1; thereafter a(2*n+1) = 2*a(2*n) - a(2*n-1), a(2*n) = 4*a(2*n-1) - a(2*n-2).at n=18A079496
• Greedy frac multiples of sqrt(2): a(1)=1, Sum_{n>=0} frac(a(n)*x)=1 at x=sqrt(2).at n=25A079934
• Series ratios converge alternately to sqrt(2) and 1+sqrt(1/2).at n=35A082766
• Expansion of g.f. (1+x)*(3+x)/(1+6*x^2+x^4).at n=16A100434
• Numerators of "Farey fraction" approximations to sqrt(2).at n=36A119016
• a(n) = -2*a(n-1) + a(n-2) for n>1, a(0)=1, a(1)=-1.at n=18A123335
• a(n) = 6*a(n-2) - a(n-4) for n > 4, with a(1)=1, a(2)=0, a(3)=3, a(4)=2.at n=18A126354