716035
domain: N
Appears in sequences
- a(0) = 1, a(1) = 5, a(n) = 4*a(n-1) - a(n-2).at n=10A001834
- Related to Genocchi numbers.at n=10A002317
- a(2*n) = a(2*n-1) + a(2*n-2), a(2*n+1) = 2*a(2*n) + a(2*n-1); a(0) = a(1) = 1.at n=21A002531
- Numerators of continued fraction convergents to sqrt(27).at n=6A041042
- Limit of the sequence obtained from S(0) = (1,1) and, for n > 0, S(n) = I(S(n-1)), where I consists of inserting, for i = 1, 2, 3..., the term a(i) + a(i+1) between any two terms for which 7*a(i+1) <= 11*a(i).at n=20A082630
- Expansion of (1 + x + x^2)/(1 - 4x^2 + x^4).at n=20A108412
- Expansion of (1+x+5x^2+2x^3) / (1-4x^2+x^4).at n=22A108413
- Number of Khalimsky-continuous functions with a three-point codomain.at n=19A131887
- Numerators of principal and intermediate convergents to 3^(1/2).at n=30A143642
- Numerators of the lower principal convergents and the lower intermediate convergents to 3^(1/2).at n=20A143643
- Numerators of fractions x^n + y^n, where x + y = 1 and x^2 + y^2 = 2.at n=20A173299
- Numbers k such that k^2 + 2 is powerful in the sense of A001694.at n=3A175180
- a(n) = a(n-1) + (if a(n-1) is odd a(n-2) else a(n-3)) with a(0) = 0, a(1) = 1.at n=32A254308