id:A134040 - OEIS Search Results

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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, 2, 4, 14, 140, 4964, 808870, 726210606, 4161522164020, 170403742275382924, 54674613696351170731038, 148019646825727958873435181692, 3596203368022579371689526442266893534 (list; graph; listen)

	OFFSET	`0,2`
	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: A102897 A001527 A067209 this_sequence A061291 A166105 A000370` `Adjacent sequences: A134037 A134038 A134039 this_sequence A134041 A134042 A134043`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 02 2007`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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