id:A099138 - OEIS Search Results

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6^(n-1)*J(n).

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0, 1, 6, 108, 1080, 14256, 163296, 2006208, 23794560, 287214336, 3436494336, 41298398208, 495217981440, 5944792559616, 71324450021376, 855971764420608, 10271190988062720, 123257112966660096, 1479068428940476416 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`In general k^(n-1)*J(n) is given by (2k)^n/(3k)-(-k)^n/(3k) with g.f. x/((1+kx)(1-2kx)).`
	FORMULA	`G.f.: x/((1+6x)(1-12x)); a(n)=6^(n-1)sum{k=0..floor((n-1)/2), binomial(n-k-1, k)2^k}; a(n)=12^n/18-(-6)^n/18; a(n)=6^(n-1)*A001045(n).`
	CROSSREFS	`Cf. A091903, A091904, A080424, A003683.` `Sequence in context: A006453 A127213 A129003 this_sequence A055532 A010563 A114310` `Adjacent sequences: A099135 A099136 A099137 this_sequence A099139 A099140 A099141`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 29 2004`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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