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A124088 10th column of Catalan triangle A009766. 2

%I

%S 4862,16796,41990,90440,177650,326876,572033,961400,1562275,2466750,

%T 3798795,5722860,8454225,12271350,17530500,24682944,34295052,47071640,

%U 63882940,85795600,114108148,150391384,196534195,254795320,327861625,418913482,531697881

%N 10th column of Catalan triangle A009766.

%F a(n) = C(n,9)-C(n,7).

%F a(n) = A214292(n+17,8). - _Reinhard Zumkeller_, Jul 12 2012

%p [seq(binomial(n,9)-binomial(n,7),n=17..42)];

%t CoefficientList[Series[(1430*z^8 - 12870*z^7 + 51051*z^6 - 116688*z^5 + 168300*z^4 - 157080*z^3 + 92820*z^2 - 31824*z + 4862)/(z - 1)^10, {z, 0, 100}], z] (* _Vladimir Joseph Stephan Orlovsky_, Jul 16 2011 *)

%Y Cf. A009766.

%Y Cf. A064059, A064061, A124087.

%K easy,nonn

%O 17,1

%A _Zerinvary Lajos_, Nov 25 2006

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Last modified November 17 18:42 EST 2018. Contains 317276 sequences. (Running on oeis4.)