login
The OEIS is supported by
the many generous donors to the OEIS Foundation
.
A134040
a(0) = 1; for n>0, a(n) = number of binary partitions of the Catalan number
A000108
(n).
1
1, 2, 4, 14, 140, 4964, 808870, 726210606, 4161522164020, 170403742275382924, 54674613696351170731038, 148019646825727958873435181692, 3596203368022579371689526442266893534
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
0,2
LINKS
Alois P. Heinz,
Table of n, a(n) for n = 0..30
FORMULA
a(n) =
A000123
(
A000108
(n) ) for n>0 with a(0)=1, where
A000108
(n) = C(2*n,n)/(n+1) (Catalan numbers) and
A000123
(n) = number of partitions of 2n into powers of 2.
EXAMPLE
a(0)=1, a(1)=
A000123
(1)=2, a(2)=
A000123
(2)=4, a(3)=
A000123
(5)=14, a(4)=
A000123
(14)=140.
CROSSREFS
Cf.
A000123
,
A000108
.
Sequence in context:
A305856
A001527
A067209
*
A368017
A061291
A381408
Adjacent sequences:
A134037
A134038
A134039
*
A134041
A134042
A134043
KEYWORD
nonn
AUTHOR
Paul D. Hanna
, Oct 02 2007
STATUS
approved
