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A005325 Column of Motzkin triangle.
(Formerly M4176)
+0
4
1, 6, 27, 104, 369, 1242, 4037, 12804, 39897, 122694, 373581, 1128816, 3390582, 10136556, 30192102, 89662216, 265640691, 785509362, 2319218869, 6839057544 (list; graph; listen)
OFFSET

5,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

R. Donaghey and L. W. Shapiro, Motzkin numbers, J. Combin. Theory, Series A, 23 (1977), 291-301.

FORMULA

G.f.: z^5*M^6, where M=1+z*M+z^2*M^2 is the g.f. for the Motzkin numbers (A001006). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 13 2004

CROSSREFS

Cf. A026300.

Cf. A026126.

Cf. A001006.

A diagonal of triangle A020474.

Sequence in context: A124641 A054457 A000395 this_sequence A099623 A119852 A027471

Adjacent sequences: A005322 A005323 A005324 this_sequence A005326 A005327 A005328

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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