114413063

Appears in sequences

• a(n+1) - 3*a(n) + a(n-1) = (2/3)(1+w^(n+1)+w^(2n+2)), where w = exp(2 Pi I / 3).at n=20A071618
• Expansion of (1-x)*(2*x^2+2*x+1) / ((x^2-x-1)*(x^2+x+1)).at n=39A111734
• a(n) = floor(Lucas(n+1)/2), Lucas(n) = A000032(n).at n=39A173714
• a(n) = numerator of Sum_{i=1..n} binomial(2n-i-1,i-1)/i.at n=19A175385
• Half the number of n X 2 binary arrays with every element equal to exactly one or two of its horizontal and vertical neighbors.at n=19A185828
• a(0)=a(1)=1, a(n+2) = a(n+1) + a(n) - A128834(n).at n=40A226956
• The edge independence number of the Lucas cube Lambda(n).at n=40A245968
• Indices of triangular numbers (A000217) that are also centered pentagonal numbers (A005891).at n=13A254626
• Partial sums of the Lucas numbers of the form L(3n+2) (A163063).at n=12A307268