id:A025751 - OEIS Search Results

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6th order Patalan numbers (generalization of Catalan numbers).

+0
3

1, 1, 15, 330, 8415, 232254, 6735366, 202060980, 6213375135, 194685754230, 6191006984514, 199237861137996, 6475230486984870, 212188322111965740, 7002214629694869420, 232473525705869664744, 7758803920433400060831 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.`
	FORMULA	`G.f.: (7-(1-36x)^(1/6))/6.` `a(n)= 6^(n-1)5A034787(n-1)/n!, n >= 2, 5A034787(n-1)=(6n-7)(!^6) := product (6j-7, j=2..n) - from wolfdieter.lang(AT)physik.uni-karlsruhe.de.`
	CROSSREFS	`Cf. A034787.` `Adjacent sequences: A025748 A025749 A025750 this_sequence A025752 A025753 A025754` `Sequence in context: A068124 A094399 A119296 this_sequence A027402 A053104 A114937`
	KEYWORD	`nonn`
	AUTHOR	`Olivier Gerard (olivier.gerard(AT)gmail.com)`

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.

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