574925

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=14A072130
• Second member of the Diophantine pair (m,k) that satisfies 5*(m^2 + m) = k^2 + k; a(n) = k.at n=9A077262
• Numbers k that are the hypotenuse of exactly 67 distinct integer-sided right triangles, i.e., k^2 can be written as a sum of two squares in 67 ways.at n=22A097626
• Expansion of x*(1+3*x+2*x^2)/((1+x+x^2)*(1-x-x^2)).at n=28A100886
• Expansion of (x^2-2*x)/(x^4-x^2+2*x-1).at n=28A108014
• a(n) = floor(Lucas(n+1)/2), Lucas(n) = A000032(n).at n=28A173714
• Partial sums of odd Fibonacci numbers (A014437).at n=18A174542
• Size (b^3_n) of unit sphere in a certain graph (see Hazama article for precise definition).at n=27A199935
• a(0)=a(1)=1, a(n+2) = a(n+1) + a(n) - A128834(n).at n=29A226956
• The edge independence number of the Lucas cube Lambda(n).at n=29A245968
• Numbers k with property that there is an m = m(k) such that m(m+1)/2 divides k(k+1)/2 and m(k) > m(i) for all i < k.at n=34A309423
• Smallest nonnegative integer not expressible by the addition and subtraction of fewer than n Lucas numbers.at n=10A364754