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

0,3

Links

Table of n, a(n) for n=0..105.

J. G. Penaud and O. Roques, Génération de chemins de Dyck à pics croissants, Discrete Mathematics, Vol. 246, no. 1-3 (2002), 255-267.

Formula

Equals lim n->infinity A048285(n)/((3+sqrt(5))/2)^n.

Example

0.11997651274807789673049840043129207628207...

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]]

Crossrefs

Cf. A048285.

Sequence in context: A201570 A019895 A196399 * A244347 A341901 A144669

Adjacent sequences: A239525 A239526 A239527 * A239529 A239530 A239531

Keyword

nonn,cons

Author

Vaclav Kotesovec, Mar 21 2014

Status

approved