A127774 - OEIS

%I #11 Jan 26 2020 20:49:45

%S 1,0,4,0,0,10,0,0,0,20,0,0,0,0,35,0,0,0,0,0,56,0,0,0,0,0,0,84,0,0,0,0,

%T 0,0,0,120,0,0,0,0,0,0,0,0,165,0,0,0,0,0,0,0,0,0,220,0,0,0,0,0,0,0,0,

%U 0,0,286,0

%N Triangle read by rows: row n consists of n-1 zeros followed by A000292(n).

%C Essentially triangle T(n,k), read by rows, given by (0,0,0,0,0,0,0,...) DELTA (4,-3/2,5/6,-1/3,3/5,-1/10,1/2,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. - _Philippe Deléham_, Nov 14 2011

%F G.f.: 1/((x*y-1)^4). - _R. J. Mathar_, Aug 12 2015

%e First few rows of the triangle are:

%e   1;

%e   0,  4;

%e   0,  0, 10;

%e   0,  0,  0, 20;

%e   0,  0,  0,  0, 35;

%e   ...

%Y Cf. A000292, A127648, A127773.

%K nonn,tabl,easy

%O 1,3

%A _Gary W. Adamson_, Jan 28 2007