114243

Appears in sequences

• Pell-Lucas numbers: numerators of continued fraction convergents to sqrt(2).at n=14A001333
• a(0) = 1, a(1) = 3; for n > 1, a(n) = 6*a(n-1) - a(n-2).at n=7A001541
• Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2).at n=29A002965
• Numerators of continued fraction convergents to sqrt(8).at n=13A041010
• Numerators of continued fraction convergents to sqrt(338).at n=9A041638
• 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=16A058580
• Numbers k such that k^2-1 and k^2 are consecutive powerful numbers.at n=11A060860
• The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to sqrt(2).at n=38A065375
• The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to sqrt(2).at n=41A065375
• Number of 13 X n binary arrays with a path of adjacent 1's from top row to bottom row.at n=1A069371
• a(n) is the n-th new record value in A073300.at n=37A073301
• Expansion of (1+x)/(1-2*x-x^2).at n=13A078057
• Squarefree numbers of the form (prime(k)+1)*(prime(k+1)+1)/4.at n=29A079095
• 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=14A079496
• Greedy frac multiples of sqrt(2): a(1)=1, Sum_{n>=0} frac(a(n)*x)=1 at x=sqrt(2).at n=19A079934
• Series ratios converge alternately to sqrt(2) and 1+sqrt(1/2).at n=27A082766
• Lengths of the B blocks in analysis of A090822.at n=15A091411
• Expansion of -x*(1+x+x^2+x^4)/(-1+2*x^3+x^6).at n=40A092550
• a(n) = (a(n-1) mod 2)*a(n-1) + a(n-2) with a(0)=0, a(1)=1.at n=43A097564
• a(n) = (a(n-1) mod 2)*a(n-1) + a(n-2) with a(0)=0, a(1)=1.at n=41A097564