login
Square array of binomial transforms read by antidiagonals.
4

%I #4 Mar 30 2012 18:58:55

%S 1,1,1,1,2,1,1,3,3,1,1,4,7,4,1,1,5,13,13,5,1,1,6,21,28,21,6,1,1,7,31,

%T 49,49,31,7,1,1,8,43,76,89,76,43,8,1,1,9,57,109,141,141,109,57,9,1,1,

%U 10,73,148,205,226,205,148,73,10,1,11,91,193,281

%N Square array of binomial transforms read by antidiagonals.

%C Rows (and columns) are binomial transforms of [1,k,k(k-1),0,0,0,...], k>=0. One of a family of arrays that converge to A088699.

%F Square array T(n, k) defined by T(n, k)=1+kn+k(k-1)n(n-1)/2

%e Rows start

%e 1,1,1,1,1,...

%e 1,2,3,4,5,...

%e 1,3,7,13,21,...

%e 1,4,13,28,29,...

%e 1,5,21,49,89,...

%Y Cf. A094526.

%K easy,nonn,tabl

%O 0,5

%A _Paul Barry_, May 07 2004