665857

Properties

Appears in sequences

• Pell-Lucas numbers: numerators of continued fraction convergents to sqrt(2).at n=16A001333
• a(0) = 1, a(1) = 3; for n > 1, a(n) = 6*a(n-1) - a(n-2).at n=8A001541
• a(n) = 2*a(n-1)^2 - 1, if n>1. a(0)=1, a(1)=3.at n=4A001601
• Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2).at n=33A002965
• Knopfmacher expansion of sqrt(2): a(2n) = 2*(a(2n-1) + 1)^2 - 1, a(2n+1) = 2*(a(2n)^2 - 1).at n=3A007759
• Numerators of continued fraction convergents to sqrt(8).at n=15A041010
• Numerators of continued fraction convergents to sqrt(18).at n=7A041026
• Numerators of continued fraction convergents to sqrt(32).at n=15A041052
• Numerators of continued fraction convergents to sqrt(72).at n=7A041126
• Numerators of continued fraction convergents to sqrt(128).at n=7A041232
• Numerators of continued fraction convergents to sqrt(288).at n=7A041542
• Numerators of continued fraction convergents to sqrt(512).at n=11A041978
• Numerators of continued fraction convergents to sqrt(578).at n=3A042106
• a(n) = a(-n) = 34*a(n-1) - a(n-2), and a(0)=1, a(1)=17.at n=4A056771
• Numbers k such that k^2-1 and k^2 are consecutive powerful numbers.at n=13A060860
• The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to sqrt(2).at n=47A065375
• The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to sqrt(2).at n=44A065375
• Number of 15 X n binary arrays with a path of adjacent 1's from top row to bottom row.at n=1A069373
• a(n) is the n-th new record value in A073300.at n=43A073301
• Expansion of (1+x)/(1-2*x-x^2).at n=15A078057