cp's OEIS Frontend

A168577 Pascal's triangle, first two columns and diagonal removed.

%I A168577 #5 Mar 30 2012 17:34:35
%S A168577 3,6,4,10,10,5,15,20,15,6,21,35,35,21,7,28,56,70,56,28,8,36,84,126,
%T A168577 126,84,36,9,45,120,210,252,210,120,45,10,55,165,330,462,462,330,165,
%U A168577 55,11,66,220,495,792,924,792,495,220,66,12,78,286,715,1287,1716,1716,1287
%N A168577 Pascal's triangle, first two columns and diagonal removed.
%C A168577 Row sums are 3, 10, 25, 56, 119, 246, .. (A000247).
%F A168577 T(n,k)= [x^k] ((x + 1)^n - x^n - n*x - 1), 2<=k<n.
%F A168577 T(n,k) = binomial(n,k).
%e A168577 3;
%e A168577 6, 4;
%e A168577 10, 10, 5;
%e A168577 15, 20, 15, 6;
%e A168577 21, 35, 35, 21, 7;
%e A168577 28, 56, 70, 56, 28, 8;
%e A168577 36, 84, 126, 126, 84, 36, 9;
%e A168577 45, 120, 210, 252, 210, 120, 45, 10;
%e A168577 55, 165, 330, 462, 462, 330, 165, 55, 11;
%e A168577 66, 220, 495, 792, 924, 792, 495, 220, 66, 12;
%e A168577 78, 286, 715, 1287, 1716, 1716, 1287, 715, 286, 78, 13;
%t A168577 p[x_, n_] = ((x + 1)^n - x^n - n*x - 1)/x^2;
%t A168577 Table[CoefficientList[p[x, n], x], {n, 3, 13}];
%t A168577 Flatten[%]
%Y A168577 Cf. A007318, A104712
%K A168577 nonn,easy,tabl
%O A168577 2,1
%A A168577 _Roger L. Bagula_, Nov 30 2009