cp's OEIS Frontend

A050174 T(n,k) = S(n,k,k-2), 1<=k<=n-2, n >= 3, array S as in A050157.

%I A050174 #21 Aug 09 2021 01:30:01
%S A050174 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 A050174 75,27,8,35,110,200,242,200,110,35,9,44,154,319,451,451,319,154,44,10,
%U A050174 54,208,483,780,912,780,483,208,54,11,65,273,702,1274
%N A050174 T(n,k) = S(n,k,k-2), 1<=k<=n-2, n >= 3, array S as in A050157.
%C A050174 S(n,k,k) = C(n,k) for 1<=k<=n, n >= 1; cf. Pascal's triangle, A007318.
%C A050174 S(n,k,k-1), 1<=k<=n-1, n >= 2 is given by A014430.
%F A050174 T(n,k) = C(n,k) - n for k>1, and T(n, 1) = n - 2. - _Andrei Asinowski_, Jan 27 2016
%e A050174 Rows:
%e A050174 1;
%e A050174 2, 2;
%e A050174 3, 5, 5;
%e A050174 4, 9, 14, 9;
%e A050174 5, 14, 28, 28, 14;
%e A050174 ...
%Y A050174 Cf. A007318, A014430.
%K A050174 nonn,tabl
%O A050174 3,2
%A A050174 _Clark Kimberling_
%E A050174 Offset changed to 3 by _Michel Marcus_, Jan 29 2016