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A078818 30*C(2n,n)/(n+3). 2
10, 15, 36, 100, 300, 945, 3080, 10296, 35100, 121550, 426360, 1511640, 5408312, 19501125, 70794000, 258529200, 949074300, 3500409330, 12964479000, 48198087000, 179799820200, 672822343050, 2524918756464, 9500112378000 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

FORMULA

a(n) =a(n-1)*(4n^2+6n-4)/(n^2+3n) =A078817(n, 2) =5*A007946(n)/(2n+1) =30*A000984(n)/(n+3).

EXAMPLE

a(5)=30*C(10,5)/8=945

CROSSREFS

Cf. A000108, A038629, A078819.

Sequence in context: A037379 A055049 A128703 * A194267 A048061 A188651

Adjacent sequences:  A078815 A078816 A078817 * A078819 A078820 A078821

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Dec 07 2002

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.