A156752 a(n) = floor(Catalan(n+1)/Catalan(n)).

1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3

Offset

0,2

Comments

Decimal expansion of 3667/30000. - Elmo R. Oliveira, May 05 2024

Links

Table of n, a(n) for n=0..104.

Index entries for linear recurrences with constant coefficients, signature (1).

Formula

a(n) = floor(A000108(n+1)/A000108(n)).

G.f.: (1+x+x^4)/(1-x).

a(0)=1, a(1) = a(2) = a(3) = 2, a(n) = 3 for n>3.

E.g.f.: 3*exp(x) - 2 - x - x^2/2 - x^3/6. - Elmo R. Oliveira, Aug 09 2024

a(n) = floor(4^(n/(n+1))). - Aaron J Grech, Aug 30 2024

Crossrefs

Cf. A000108, A010701.

Sequence in context: A319290 A230516 A192688 * A345073 A086673 A101787

Adjacent sequences: A156749 A156750 A156751 * A156753 A156754 A156755

Keyword

nonn,easy

Author

Philippe Deléham, Feb 14 2009

Status

approved