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Search: id:A099170
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A099170 Generalized Motzkin paths with no hills and 3-horizontal steps. +0
2
1, 0, 0, 1, 1, 1, 3, 5, 9, 17, 34, 64, 128, 251, 505, 1007, 2044, 4132, 8444, 17243, 35461, 72975, 150910, 312488, 649359, 1351478, 2820366, 5895019, 12348082, 25903960, 54438338, 114563999, 241461037, 509563657, 1076758140 (list; graph; listen)
OFFSET

0,7

LINKS

E. Barcucci, E. Pergola, R. Pinzani and S. Rinaldi, ECO method and hill-free generalized Motzkin paths

FORMULA

G.f.: [1-x^3+2x^2-sqrt(1-2x^3+x^6-4x^2)]/[2x^2*(2+x^2-x^3)].

CROSSREFS

Cf. A001003, A089372, A099171.

Sequence in context: A127904 A048578 A087312 this_sequence A018095 A003217 A006723

Adjacent sequences: A099167 A099168 A099169 this_sequence A099171 A099172 A099173

KEYWORD

nonn

AUTHOR

Ralf Stephan, Oct 09 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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