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%I #10 Apr 24 2024 11:39:33
%S 1,1,4,1,5,15,1,6,21,56,1,7,28,84,210,1,8,36,120,330,792,1,9,45,165,
%T 495,1287,3003,1,10,55,220,715,2002,5005,11440,1,11,66,286,1001,3003,
%U 8008,19448,43758,1,12,78,364,1365,4368,12376,31824,75582,167960
%N Triangle read by rows: T(n,m) = binomial(n+m,1+n), 1<=m<=n.
%C Row sums are A002054.
%e 1;
%e 1, 4;
%e 1, 5, 15;
%e 1, 6, 21, 56;
%e 1, 7, 28, 84, 210;
%e 1, 8, 36, 120, 330, 792;
%e 1, 9, 45, 165, 495, 1287, 3003;
%e 1, 10, 55, 220, 715, 2002, 5005, 11440;
%t Table[Table[Binomial[n + i, i + 1], {n, 1, i}], {i, 1, 10}] Flatten[%]
%Y Cf. A178300, A046899, A059481, A002054, A000292.
%K nonn,tabl,easy
%O 1,3
%A _Roger L. Bagula_, Jul 12 2007
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