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A095665 Tenth column (m=9) of (1,3)-Pascal triangle A095660. 2

%I

%S 3,28,145,550,1705,4576,11011,24310,50050,97240,179894,319124,545870,

%T 904400,1456730,2288132,3513917,5287700,7811375,11347050,16231215,

%U 22891440,31865925,43826250,59603700,80219568,106919868,141214920

%N Tenth column (m=9) of (1,3)-Pascal triangle A095660.

%C If Y is a 3-subset of an n-set X then, for n>=11, a(n-11) is the number of 9-subsets of X having at most one element in common with Y. - _Milan Janjic_, Nov 23 2007

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

%F a(n)= binomial(n+8, 8)*(n+27)/9 = 3*b(n)-2*b(n-1), with b(n):=binomial(n+9, 9); cf. A000582.

%F G.f.: (3-2*x)/(1-x)^10.

%t Table[Binomial[n+8,8] (n+27)/9,{n,0,30}] (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{3,28,145,550,1705,4576,11011,24310,50050,97240},30] (* _Harvey P. Dale_, Oct 13 2017 *)

%Y Ninth column: A095663.

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Jun 11 2004

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Last modified May 5 18:37 EDT 2021. Contains 343573 sequences. (Running on oeis4.)