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A025751 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-(1-36*x)^(1/6))/6.

a(n)= 6^(n-1)*5*A034787(n-1)/n!, n >= 2, 5*A034787(n-1)=(6*n-7)(!^6) := product (6*j-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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