24468

Appears in sequences

• Related to enumeration of edge-rooted catafusenes.at n=16A039658
• Starting index of a string of 4 or more consecutive equal digits in decimal expansion of Pi.at n=23A049516
• a(n)=a(n-1)+a(m), where m=2n-2-2^(p+1) and 2^p<n-1<=2^(p+1), for n >= 4.at n=31A050067
• Starting positions of strings of three 5's in the decimal expansion of Pi.at n=25A083620
• Triangle T(n,m), [x*A(x)]^m=sum(n>=m T(n,m)*x^n), where A(x) satisfies x*A(x)^3= -(2*x*A(x)^2+sqrt(1-4*x*A(x)^2)-1)/(4*x*A(x)^2+sqrt(1-4*x*A(x)^2)-1).at n=23A188110
• Start with an equilateral triangle, and repeatedly append along the triangles of the previous step equilateral triangles with half their side length that do not overlap with any prior triangle; a(n) gives the number of triangles appended at n-th step.at n=11A321257
• G.f. A(x) satisfies: A(x) = (1 + 2*x*A(x))^6 / (1 + x*A(x))^3.at n=4A352384
• Expansion of e.g.f. 1 / (1 + 3 * log(1-x))^(2/3).at n=5A365575