A239528 Decimal expansion of a constant related to A048285.
1, 1, 9, 9, 7, 6, 5, 1, 2, 7, 4, 8, 0, 7, 7, 8, 9, 6, 7, 3, 0, 4, 9, 8, 4, 0, 0, 4, 3, 1, 2, 9, 2, 0, 7, 6, 2, 8, 2, 0, 7, 0, 5, 1, 9, 3, 3, 4, 7, 8, 6, 3, 4, 7, 1, 6, 2, 0, 7, 7, 4, 0, 4, 9, 6, 9, 2, 7, 1, 4, 7, 6, 2, 0, 7, 5, 6, 3, 4, 7, 4, 8, 1, 7, 2, 5, 9, 1, 4, 4, 0, 6, 7, 9, 3, 1, 5, 4, 2, 8, 0, 2, 1, 9, 0, 7
Offset: 0
Examples
0.11997651274807789673049840043129207628207...
Links
- J. G. Penaud and O. Roques, Génération de chemins de Dyck à pics croissants, Discrete Mathematics, Vol. 246, no. 1-3 (2002), 255-267.
Crossrefs
Cf. A048285.
Programs
-
Mathematica
RealDigits[N[(Sqrt[5]-3)/(Sqrt[5]-5)*Sum[(-1)^k*x^(2*k)/Product[(1-x)*(1-x^i)-x,{i,2,k+1}],{k,0,300}]/.x->(3-Sqrt[5])/2,60]][[1]]
Formula
Equals lim n->infinity A048285(n)/((3+sqrt(5))/2)^n.