1505174
domain: N
Appears in sequences
- a(n+1) - 3*a(n) + a(n-1) = (2/3)*(1+w^(n+1)+w^(2*n+2)); a(1) = 0, a(2) = 1; where w is the cubic root of unity.at n=15A072130
- Second member of the Diophantine pair (m,k) that satisfies 5*(m^2 + m) = k^2 + k; a(n) = k.at n=10A077262
- Expansion of x*(1+3*x+2*x^2)/((1+x+x^2)*(1-x-x^2)).at n=30A100886
- Expansion of (x^2-2*x)/(x^4-x^2+2*x-1).at n=30A108014
- a(n) = floor(Lucas(n+1)/2), Lucas(n) = A000032(n).at n=30A173714
- Size (b^3_n) of unit sphere in a certain graph (see Hazama article for precise definition).at n=29A199935
- The edge independence number of the Lucas cube Lambda(n).at n=31A245968
- Partial sums of the Lucas numbers of the form L(3n+2) (A163063).at n=9A307268