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A188225 Number of ways to select 15 knights from n knights sitting at a round table if no adjacent knights are chosen. 0

%I #11 May 16 2018 09:29:29

%S 2,31,256,1496,6936,27132,93024,286824,810084,2124694,5230016,

%T 12183560,27041560,57500460,117675360,232676280,445962870,830905245,

%U 1508593920,2674776720,4639918800,7887861960,13160496960,21578373360,34810394760

%N Number of ways to select 15 knights from n knights sitting at a round table if no adjacent knights are chosen.

%F a(n) = C(n - 15, 15) + C(n - 16, 14)

%e For n = 30 a(30) = C(15, 15) + C(14, 14) = 2

%t Table[Binomial[n-15,15]+Binomial[n-16,14],{n,30,60}] (* _Harvey P. Dale_, May 16 2018 *)

%Y a(n) = A010968(n - 15) + A010967(n - 16)

%K nonn

%O 30,1

%A _Zoltán Lőrincz_, Mar 30 2011

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