|
|
A135759
|
|
Least Catalan number divisible by 2^n: a(n) = A000108(2^(n+1)-2).
|
|
1
|
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
a(n) = C(2^(n+2)-4, 2^(n+1)-2) / (2^(n+1)-1).
|
|
MATHEMATICA
|
Table[Binomial[2^(n + 2) - 4, 2^(n + 1) - 2]/(2^(n + 1) - 1), {n, 0, 10}] (* G. C. Greubel, Nov 07 2016 *)
Table[SelectFirst[CatalanNumber[Range[300]], Divisible[#, 2^n]&], {n, 0, 7}] (* Harvey P. Dale, Jan 09 2017 *)
|
|
PROG
|
(PARI) {a(n) = binomial(2^(n+2)-4, 2^(n+1)-2) / (2^(n+1)-1)}
for(n=0, 8, print1(a(n), ", "))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|