%I #9 Feb 03 2023 04:53:29

%S 1,2,0,5,0,0,12,1,0,0,30,4,1,0,0,74,17,4,1,0,0,185,56,21,4,1,0,0,460,

%T 185,74,26,4,1,0,0

%N Expansion of the first column of triangle T_(2,x), T_(x,y) defined in A039599; T_(2,0)= A126075, T_(2,1)= A038622, T_(2,2)= A039598, T_(2,3)= A124733, T_(2,4)= A124575.

%F Sum_{k=0..n} T(n,k)*x^k = A054341(n), A005773(n+1), A000108(n+1), A007317(n), A033543(n) for x = 0, 1, 2, 3, 4 respectively.

%e Triangle begins:

%e 1;

%e 2, 0;

%e 5, 0, 0;

%e 12, 1, 0, 0;

%e 30, 4, 1, 0, 0;

%e 74, 17, 4, 1, 0, 0;

%e ...

%Y Cf. A000108, A171368, A171380.

%K nonn,tabl,more

%O 0,2

%A _Philippe Deléham_, Dec 07 2009