746639
domain: N
Appears in sequences
- a(n) is the n-th new record value in A073300.at n=44A073301
- 2*a(n)^2 + 7 is a square.at n=15A077442
- a(0) = -1, a(1) = 2; a(n) = 2*a(n-1) + a(n-2).at n=16A078343
- 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=30A082981
- a(n) = Pell(n) * Sum_{d|n} 1/Pell(d), where Pell(n) = A000129(n).at n=15A203797
- Part of the y solutions of the Pell equation x^2 - 2*y^2 = +7.at n=7A253811
- a(n) = 2*a(n - 2) + a(n - 4) with a(0) = a(1) = 2, a(2) = 1, a(3) = 3.at n=31A266504