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A105938
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C(n+2,n)*C(n+5,2)
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1
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10, 45, 126, 280, 540, 945, 1540, 2376, 3510, 5005, 6930, 9360, 12376, 16065, 20520, 25840, 32130, 39501, 48070, 57960, 69300, 82225, 96876, 113400, 131950, 152685, 175770, 201376, 229680, 260865, 295120, 332640, 373626, 418285, 466830, 519480, 576460
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 0..5000
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FORMULA
| G.f.: (x^2-5*x+10)/(1-x)^5. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 16 2008]
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EXAMPLE
| If n=0 then C(0+2,0)*C(0+5,2)= C(2,0)*C(5,2)=1*10=10
If n=9 then C(9+2,9)*C(9+5,2)= C(11,9)*C(14,2)=55*91=5005
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MAPLE
| a:= n-> binomial (n+2, n) *binomial (n+5, 2): seq (a(n), n=0..40); # Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 16 2008
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MATHEMATICA
| Table[n*(n + 1) (n + 3) (n + 4)/4, {n, 100}] (* From Vladimir Joseph Stephan Orlovsky, Jun 26 2011 *)
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CROSSREFS
| Cf. A062145.
Sequence in context: A009540 A010926 A045852 * A022605 A179095 A037270
Adjacent sequences: A105935 A105936 A105937 * A105939 A105940 A105941
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KEYWORD
| easy,nonn
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AUTHOR
| Zerinvary Lajos (zlaja(AT)freemail.hu), Apr 27 2005
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EXTENSIONS
| More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 16 2008
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