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A176849 Triangle read by rows which contains the (6n)-th row of the Pascal triangle in row n. 0

%I #4 Mar 30 2012 17:34:40

%S 1,1,6,15,20,15,6,1,1,12,66,220,495,792,924,792,495,220,66,12,1,1,18,

%T 153,816,3060,8568,18564,31824,43758,48620,43758,31824,18564,8568,

%U 3060,816,153,18,1,1,24,276,2024,10626,42504,134596,346104,735471,1307504

%N Triangle read by rows which contains the (6n)-th row of the Pascal triangle in row n.

%C Row sums are A089357(n).

%F T(n,m)=binomial(6*n, m) = A007318(6*n,m), 0<=m<=n.

%e 1;

%e 1, 6, 15, 20, 15, 6, 1;

%e 1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1;

%e 1, 18, 153, 816, 3060, 8568, 18564, 31824, 43758, 48620, 43758, 31824, 18564, 8568, 3060, 816, 153, 18, 1;

%e 1, 24, 276, 2024, 10626, 42504, 134596, 346104, 735471, 1307504, 1961256, 2496144, 2704156, 2496144, 1961256, 1307504, 735471, 346104, 134596, 42504, 10626, 2024, 276, 24, 1;

%t t[n_, m_] := Binomial[6*n, m];

%t Table[Table[t[n, m], {m, 0, 6*n}], {n, 0, 10}];

%t Flatten[%]

%Y Cf. A164278

%K nonn,tabf,easy

%O 0,3

%A _Roger L. Bagula_, Apr 27 2010

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