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Triangle with n >= k >= 0 where a(n,k) = 2^k*3^(n-k)*(C(n+1,0)+C(n+1,1)+...C(n+1,k)).
1

%I #3 Mar 30 2012 18:51:34

%S 1,3,6,9,24,28,27,90,132,120,81,324,576,624,496,243,1134,2376,3024,

%T 2736,2016,729,3888,9396,13824,14256,11520,8128,2187,13122,35964,

%U 60264,70416,63072,47424,32640,6561,43740,134136,252720,331776,330048,268416

%N Triangle with n >= k >= 0 where a(n,k) = 2^k*3^(n-k)*(C(n+1,0)+C(n+1,1)+...C(n+1,k)).

%F a(n, k) =A054143(n, k)*A036561(n, n-k)

%e Rows start (1), (3,6), (9,24,68), (27,90,132,120) etc.

%Y Row sums are 5^(n+1)-4^(n+1), i.e. A005060. Cf. A061930.

%K nonn,tabl

%O 0,2

%A _Henry Bottomley_, May 22 2001