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%I #10 Feb 26 2014 10:29:28
%S 1,1,1,1,4,1,1,4,4,1,1,4,16,4,1,1,4,16,16,4,1,1,4,16,64,16,4,1,1,4,16,
%T 64,64,16,4,1,1,4,16,64,256,64,16,4,1,1,4,16,64,256,256,64,16,4,1,1,4,
%U 16,64,256,1024,256,64,16,4,1
%N Triangle T(n,k) read by rows: T(n,k) = 4^min(k, n-k) = 4^A004197(n,k).
%C Row sums are: {1, 2, 6, 10, 26, 42, 106, 170, 426, 682, 1706,...} = A061547(n+2).
%F T(n,k) = 4^min(k, n-k). - _Philippe Deléham_, Feb 25 2014
%F T(n,k) = A144464(n,k)^2. - _Philippe Deléham_, Feb 26 2014
%e {1},
%e {1, 1},
%e {1, 4, 1},
%e {1, 4, 4, 1},
%e {1, 4, 16, 4, 1},
%e {1, 4, 16, 16, 4, 1},
%e {1, 4, 16, 64, 16, 4, 1},
%e {1, 4, 16, 64, 64, 16, 4, 1},
%e {1, 4, 16, 64, 256, 64, 16, 4, 1},
%e {1, 4, 16, 64, 256, 256, 64, 16, 4, 1},
%e {1, 4, 16, 64, 256, 1024, 256, 64, 16, 4, 1}
%t Clear[a, k, m]; k = 4; a[0] = {1}; a[1] = {1, 1};
%t a[n_] := a[n] = Join[{1}, k*a[n - 2], {1}];
%t Table[a[n], {n, 0, 10}];
%t Flatten[%]
%Y Cf. A004197, A144464, A152714, A152717.
%K nonn,easy,tabl
%O 0,5
%A _Roger L. Bagula_ and _Gary W. Adamson_, Dec 11 2008
%E Better name by _Philippe Deléham_, Feb 25 2014
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