|
%I #14 Nov 09 2019 01:11:34
%S 1,3,2,5,7,3,7,15,13,4,9,26,34,21,5,11,40,70,65,31,6,13,57,125,155,
%T 111,43,7,15,77,203,315,301,175,57,8,17,100,308,574,686,532,260,73,9,
%U 19,126,444,966,1386,1344,876,369,91,10,21,155,615,1530,2562,2982,2430,1365
%N Triangle read by rows: T(n,k) = k*binomial(n,k) + binomial(n-1,k) (1 <= k <= n).
%C Also A007318 * A127899 (unsigned) as a product of two infinite lower triangular matrices. - _Gary W. Adamson_, Feb 19 2007
%e First few rows of the triangle are
%e 1;
%e 3, 2;
%e 5, 7, 3;
%e 7, 15, 13, 4;
%e 9, 26, 34, 21, 5;
%e 11, 40, 70, 65, 31, 6;
%e 13, 57, 125, 155, 111, 43, 7;
%e ...
%p T:=(n,k)->k*binomial(n,k)+binomial(n-1,k): for n from 1 to 12 do seq(T(n,k),k=1..n) od; # yields sequence in triangular form
%Y Cf. A099035 (row sums).
%K nonn,tabl
%O 1,2
%A _Gary W. Adamson_, Nov 15 2006
%E Edited by _N. J. A. Sloane_, Nov 29 2006
|
