|
|
A336257
|
|
a(n) = Catalan(n) mod (2*n+1).
|
|
1
|
|
|
0, 1, 2, 5, 5, 9, 2, 9, 2, 17, 17, 21, 12, 22, 2, 29, 18, 30, 2, 30, 2, 41, 30, 45, 9, 21, 2, 54, 53, 57, 2, 28, 38, 65, 42, 69, 2, 64, 70, 77, 5, 81, 80, 33, 2, 14, 27, 45, 2, 36, 2, 101, 87, 105, 2, 78, 2, 34, 75, 6, 101, 45, 62, 125, 39, 129, 74, 60, 2, 137, 90
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
|
|
MAPLE
|
a:= n-> binomial(2*n, n)/(n+1) mod (2*n+1):
|
|
PROG
|
(PARI) C(n)=binomial(2*n, n)/(n+1);
a(n) = C(n) % (2*n+1);
(Python)
for n in range(2, 10001):
c = c*(4*n-2)//(n+1)
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|