cp's OEIS Frontend

A107030 Number triangle associated with the Riordan arrays (1/(1+x),x/(1+x)^k),k>=0.

%I A107030 #10 Mar 16 2025 12:41:54
%S A107030 1,2,1,2,2,1,2,4,2,1,2,8,6,2,1,2,16,20,8,2,1,2,32,70,38,10,2,1,2,64,
%T A107030 252,196,62,12,2,1,2,128,924,1062,426,92,14,2,1,2,256,3432,5948,3112,
%U A107030 792,128,16,2,1,2,512,12870,34120,23686,7302,1326,170,18,2,1
%N A107030 Number triangle associated with the Riordan arrays (1/(1+x),x/(1+x)^k),k>=0.
%F A107030 Number triangle T(n, k)=(k-1)*C(k(n-k), n-k)-(k-2)*sum{j=0..n-k, C(k(n-k), j)}
%e A107030 Triangle begins
%e A107030   1;
%e A107030   2,  1;
%e A107030   2,  2,  1;
%e A107030   2,  4,  2, 1;
%e A107030   2,  8,  6, 2, 1;
%e A107030   2, 16, 20, 8, 2, 1;
%Y A107030 Reversal of A107027.
%Y A107030 Row sums are A107028.
%Y A107030 Diagonal sums are A107031.
%Y A107030 Columns include A040000, A000079, A000984, A047098.
%K A107030 easy,nonn,tabl
%O A107030 0,2
%A A107030 _Paul Barry_, May 09 2005