A050174 - OEIS

%I #21 Aug 09 2021 01:30:01

%S 1,2,2,3,5,5,4,9,14,9,5,14,28,28,14,6,20,48,62,48,20,7,27,75,117,117,

%T 75,27,8,35,110,200,242,200,110,35,9,44,154,319,451,451,319,154,44,10,

%U 54,208,483,780,912,780,483,208,54,11,65,273,702,1274

%N T(n,k) = S(n,k,k-2), 1<=k<=n-2, n >= 3, array S as in A050157.

%C S(n,k,k) = C(n,k) for 1<=k<=n, n >= 1; cf. Pascal's triangle, A007318.

%C S(n,k,k-1), 1<=k<=n-1, n >= 2 is given by A014430.

%F T(n,k) = C(n,k) - n for k>1, and T(n, 1) = n - 2. - _Andrei Asinowski_, Jan 27 2016

%e Rows:

%e 1;

%e 2, 2;

%e 3, 5, 5;

%e 4, 9, 14, 9;

%e 5, 14, 28, 28, 14;

%e ...

%Y Cf. A007318, A014430.

%K nonn,tabl

%O 3,2

%A _Clark Kimberling_

%E Offset changed to 3 by _Michel Marcus_, Jan 29 2016