cp's OEIS Frontend

A104734 Triangle T(n,k) = sum_{j=k..n} (2n-2j+1)*binomial(k,j-k), read by rows, 0<=k<=n.

%I A104734 #8 Sep 17 2013 13:21:47
%S A104734 1,3,1,5,4,1,7,8,5,1,9,12,12,6,1,11,16,20,17,7,1,13,20,28,32,23,8,1,
%T A104734 15,24,36,48,49,30,9,1,17,28,44,64,80,72,38,10,1,19,32,52,80,112,129,
%U A104734 102,47,11,1,21,36,60,96,144,192,201,140,57,12,1,23,40,68,112,176,256,321,303,187,68,13,1,25,44,76,128,208,320,448,522,443,244,80,14,1
%N A104734 Triangle T(n,k) = sum_{j=k..n} (2n-2j+1)*binomial(k,j-k), read by rows, 0<=k<=n.
%C A104734 Array A210489 (without first row) read downwards antidiagonals. - _R. J. Mathar_, Sep 17 2013
%F A104734 Matrix product of the triangle A = A099375 by B = [1; 0, 1; 0, 1, 1; 0, 0, 2, 1; 0, 0, 1, 3, 1;...] (which is the triangular view of A026729).
%e A104734 First few rows of the triangle are:
%e A104734 1;
%e A104734 3, 1;
%e A104734 5, 4, 1;
%e A104734 7, 8, 5, 1;
%e A104734 9, 12, 12, 6, 1;
%e A104734 11, 16, 20, 17, 7, 1;
%e A104734 ...
%Y A104734 Cf. A001891 (row sums), A026729.
%K A104734 nonn,tabl
%O A104734 0,2
%A A104734 _Gary W. Adamson_, Mar 20 2005