54730

Appears in sequences

• Main diagonal of Wythoff array: w(n,n)=[ n*tau ]F(n+1)+(n-1)F(n), where tau=(1+sqrt(5))/2, F(n) = Fibonacci numbers.at n=15A020941
• Fibonacci sequence beginning 0, 5.at n=21A022088
• Generating function A(x) satisfies A(x) = (1+x)^2*A(x^2)^2, with A(0)=1.at n=26A073708
• Sum of two consecutive squares of Lucas numbers (A001254).at n=10A106729
• a(n) = 81n^2 - n.at n=25A157953
• a(n) = 324n^2 - 2n.at n=12A158305
• a(n) = 676*n^2 - 26.at n=8A158639
• Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.at n=33A209116
• Rounded area of distinct right triangles appearing in the unit golden spiral.at n=22A221212
• Number of connected squarefree bipartite graphs on n vertices.at n=14A300749
• Numbers k such that the determinant of the Vandermonde matrix of their digits is equal to phi(k), the Euler totient function of k.at n=17A307587
• Numbers k such that one of k-A001414(k) and k+A001414(k) is a prime and the other is the square of a prime.at n=18A358002
• Numbers k such that A075255(k) is the square of a prime.at n=34A386954