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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 * A061291 A166105 A000370

Adjacent sequences:  A134037 A134038 A134039 * A134041 A134042 A134043

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 02 2007

STATUS

approved

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Last modified January 23 03:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)