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A134040
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a(0) = 1; for n>0, a(n) = number of binary partitions of the Catalan number A000108(n).
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1
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1, 2, 4, 14, 140, 4964, 808870, 726210606, 4161522164020, 170403742275382924, 54674613696351170731038, 148019646825727958873435181692, 3596203368022579371689526442266893534
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Alois P. Heinz, Table of n, a(n) for n = 0..30
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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.
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EXAMPLE
| a(0)=1, a(1)=A000123(1)=2, a(2)=A000123(2)=4, a(3)=A000123(5)=14, a(4)=A000123(14)=140.
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CROSSREFS
| Cf. A000123, A000108.
Sequence in context: A102897 A001527 A067209 * A061291 A166105 A000370
Adjacent sequences: A134037 A134038 A134039 * A134041 A134042 A134043
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Oct 02 2007
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