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Search: id:A045994
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A045994 a(0)=1, a(n) = M(n) + Sum {M(k)*a(n-k-1), k=1..n-1}, where M(n) are the Motzkin numbers (A001006). +0
1
1, 1, 3, 7, 18, 47, 125, 337, 918, 2522, 6977, 19415, 54297, 152507, 429974, 1216297, 3450817, 9816460, 27991422, 79989880, 229034820, 656979399, 1887653560, 5431969355, 15653355151, 45167783715, 130491471940, 377426429199 (list; graph; listen)
OFFSET

0,3

CROSSREFS

Cf. A005773.

Sequence in context: A027969 A027971 A018028 this_sequence A101308 A018029 A099483

Adjacent sequences: A045991 A045992 A045993 this_sequence A045995 A045996 A045997

KEYWORD

nonn

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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