OFFSET
0,3
COMMENTS
LINKS
Michael De Vlieger, Table of n, a(n) for n = 0..4861
EXAMPLE
For n=1, the largest k such that C(k) <= 1 is 1, thus a(1) = 1.
For n=2, the largest k such that C(k) <= 2 is 2, thus a(2) = 2.
For n=3, the largest k such that C(k) <= 3 is 2, thus a(3) = 2.
For n=4, the largest k such that C(k) <= 4 is 2, thus a(4) = 2.
For n=5, the largest k such that C(k) <= 5 is 3, thus a(5) = 3.
MATHEMATICA
MapIndexed[ConstantArray[First@ #2 - 1, #1] &, Differences@ Array[CatalanNumber, 8, 0]] /. {} -> {0} // Flatten (* Michael De Vlieger, Jun 08 2017 *)
Join[{0}, Table[PadRight[{}, CatalanNumber[n+1]-CatalanNumber[n], n], {n, 6}]// Flatten] (* Harvey P. Dale, Aug 23 2021 *)
PROG
(Python)
from sympy import catalan
def a(n):
if n==0: return 0
i=1
while True:
if catalan(i)>n: break
else: i+=1
return i - 1
print([a(n) for n in range(101)]) # Indranil Ghosh, Jun 08 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 23 2014
STATUS
approved