OFFSET
0,3
COMMENTS
A000108 interleaved with this sequence gives floor(C(n/2)).
LINKS
Paolo P. Lava, Table of n, a(n) for n = 0..1000
FORMULA
a(n) ~ 2^(2*n + 1) / (sqrt(Pi) * n^(3/2)). - Vaclav Kotesovec, Apr 27 2018
EXAMPLE
C(n + 1/2)*Pi gives: 2^3/3, 2^6/(3*5), 2^10/(3*5*7), 2^13/(5*7*9), 2^18/(5*7*9*11), 2^21/(7*9*11*13), 2^25/(5*7*9*11*13), ...
MAPLE
P:=proc(n) floor(evalf(binomial(2*n+1, n+1/2)/(n+3/2), 1200)); end: seq(P(i), i=0..28); # Paolo P. Lava, May 03 2018
MATHEMATICA
Table[Floor[CatalanNumber[n + 1/2]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Bruno Berselli, Apr 27 2018
STATUS
approved