login
Expansion of the first column of triangle T_(1,x), T(x,y) defined in A039599; T_(1,0)= A061554, T_(1,1)= A064189, T_(1,2)= A039599, T_(1,3)= A110877, T_(1,4)= A124576.
2

%I #5 Jan 25 2020 00:34:16

%S 1,1,0,2,0,0,3,1,0,0,6,2,1,0,0,10,8,2,1,0,0,20,16,12,2,1,0,0,35,47,25,

%T 17,2,1,0,0,70,94,97,36,23,2,1,0,0,126,244,204,179,49,30,2,1,0,0

%N Expansion of the first column of triangle T_(1,x), T(x,y) defined in A039599; T_(1,0)= A061554, T_(1,1)= A064189, T_(1,2)= A039599, T_(1,3)= A110877, T_(1,4)= A124576.

%C Diagonal sums: A089324.

%C Equal to A092107*B^(-1) = A092107*A130595 as lower triangular arrays. - _Philippe Deléham_, Dec 10 2009

%F Sum_{k=0..n} T(n,k)*x^k = A001405(n), A001006(n), A000108(n), A033321(n) for x = 0, 1, 2, 3 respectively.

%e Triangle begins:

%e 1;

%e 1, 0;

%e 2, 0, 0;

%e 3, 1, 0, 0;

%e 6, 2, 1, 0, 0;

%e 10, 8, 2, 1, 0, 0;

%e ...

%Y Cf. A000108, A001006, A001405, A033321, A089324.

%K nonn,tabl

%O 0,4

%A _Philippe Deléham_, Dec 07 2009