551614
domain: N
Appears in sequences
- Companion Pell numbers: a(n) = 2*a(n-1) + a(n-2), a(0) = a(1) = 2.at n=15A002203
- Numerators of continued fraction convergents to sqrt(8).at n=14A041010
- Numerators of continued fraction convergents to sqrt(200).at n=4A041370
- Numbers k such that (k^2 + 4)/2 is a square.at n=7A077444
- Duplicate of A077444.at n=7A077461
- a(n) = floor((1+sqrt(2))^n).at n=15A080039
- Start with the sequence S(0)={1,1} and for k>0 define S(k) to be I(S(k-1)) where I denotes the operation of inserting, for i=1,2,3..., the term a(i)+a(i+1) between any two terms for which 4a(i+1)<=5a(i). The listed terms are the initial terms of the limit of this process as k goes to infinity.at n=29A082981
- a(n) = 14*a(n-1) + a(n-2), starting with a(0) = 2 and a(1) = 14.at n=5A090300
- Expansion of (1+x^2)/(1-2*x-x^2).at n=15A099425
- a(n) = -(u^n-1)*(v^n-1) with u = 1+sqrt(2), v = 1-sqrt(2).at n=14A129744
- a(1) = 2, a(2) = 8; a(n) = 2 a(n - 1) + a(n - 2) - 4*(n mod 2).at n=14A162484
- a(n) = n^5 + 5*n^3 + 5*n.at n=14A261391