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Search: id:A111777
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A111777 Fourth column (m=3) of unsigned triangle A111595. +0
2
1, 12, 130, 1380, 15435, 182280, 2302020, 30958200, 444230325, 6771510900, 109568809350, 1874844071100, 33875023557375, 644264598978000, 12877256933541000, 269789087886318000, 5915648230774907625 (list; graph; listen)
OFFSET

3,2

FORMULA

E.g.f. (1/sqrt(1-x^2))*((x/(1-x))^3)/3!.

a(n)=(n!/3!)*sum(binomial(2*k, k)*binomial(n-2*k-1, 2)/(4^k), k=0..floor((n-3)/2)), n>=3.

CROSSREFS

Sequence in context: A045508 A099157 A163414 this_sequence A160962 A097783 A078218

Adjacent sequences: A111774 A111775 A111776 this_sequence A111778 A111779 A111780

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 23 2005

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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