%I A080419
%S A080419 1,4,1,15,7,1,54,36,10,1,189,162,66,13,1,648,675,360,105,16,1,2187,2673,
%T A080419 1755,675,153,19,1,7290,10206,7938,3780,1134,210,22,1,24057,37908,34020,
%U A080419 19278,7182,1764,276,25,1,78732,137781,139968,91854,40824,12474,2592
%N A080419 Triangle of generalized Chebyshev coefficients.
%C A080419 Second binomial transform of 'pruned' Pascal triangle Binomial(i+1,j+1), 
               (i,j>=0). Columns include A006234, A080420, A080421, A080422, A080423.
%F A080419 T(n, 1)=A006234(n), T(n, k)=0, k>n, T(n, n) = 1. T(n, k)=T(n-1, k-1)+3T(n-1, 
               k) As a square array, it is generated by T1(n, k)= (n+3k)3^n Product{j=1..(k-1), 
               n+j}/(3k(k-1)!) (k>=1, n>=0)
%e A080419 Rows are {1}, {4,1}, {15,7,1}, {54,36,10,1}, {189,162,66,13,1}, ... For 
               example, 10 = 7+3*1, 66 = 36+3*10.
%Y A080419 Sequence in context: A164794 A107873 A156290 this_sequence A095307 A159764 
               A124029
%Y A080419 Adjacent sequences: A080416 A080417 A080418 this_sequence A080420 A080421 
               A080422
%K A080419 easy,nonn,tabl
%O A080419 1,2
%A A080419 Paul Barry (pbarry(AT)wit.ie), Feb 19 2003