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A105938 C(n+2,n)*C(n+5,2) +0
1
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 (list; graph; listen)
OFFSET

0,1

FORMULA

G.f.: (x^2-5*x+10)/(1-x)^5. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 16 2008]

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

MAPLE

a:= n-> binomial (n+2, n) *binomial (n+5, 2): seq (a(n), n=0..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 16 2008]

CROSSREFS

Cf. A062145.

Sequence in context: A009540 A010926 A045852 this_sequence A022605 A037270 A027800

Adjacent sequences: A105935 A105936 A105937 this_sequence A105939 A105940 A105941

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos (zlaja(AT)freemail.hu), Apr 27 2005

EXTENSIONS

More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 16 2008

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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