Search: id:A122076
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%I A122076
%S A122076 2,3,2,7,8,2,18,30,15,2,47,104,80,24,2,123,340,355,170,35,2,322,1068,
%T A122076 1410,932,315,48,2,843,3262,5208,4396,2079,532,63,2,2207,9760,18280,
%U A122076 18784,11440,4144,840,80,2,5778,28746,61785,74838,55809,26226,7602,1260
%N A122076 Coefficients of a generalized Jaco-Lucas polynomial (even indices) read 
               by rows.
%H A122076 Y. Sun, <a href="http://www.combinatorics.cn/publications/papers/2004/
               Triangle.pdf">Numerical Triangles and Several Classical Sequences</
               a>, Fib. Quart. 43, no. 4, (2005) 359-370, Table 3.3.
%F A122076 T(n,k)=sum_(j=0..n) 2n*binomial(2n-j,j)*binomial(j,k)/(2n-j).
%e A122076 2
%e A122076 3 2
%e A122076 7 8 2
%e A122076 18 30 15 2
%e A122076 47 104 80 24 2
%o A122076 (PARI) T(n,k)={ if(n>=1, sum(j=0,n/2, n*binomial(n-j,j)*binomial(j,k)/
               (n-j)), 2 ) ; } { nmax=10 ; for(n=0,nmax, for(k=0,n, print1(T(2*n,
               k),",") ; ); ); }
%Y A122076 Sequence in context: A158747 A122697 A129022 this_sequence A014784 A048601 
               A008317
%Y A122076 Adjacent sequences: A122073 A122074 A122075 this_sequence A122077 A122078 
               A122079
%K A122076 easy,nonn,tabl
%O A122076 1,1
%A A122076 R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 16 2006

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