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%I #14 Jul 31 2021 14:30:47
%S 1,2,3,3,6,10,4,10,20,35,5,15,35,70,126,6,21,56,126,252,462,7,28,84,
%T 210,462,924,1716,8,36,120,330,792,1716,3432,6435,9,45,165,495,1287,
%U 3003,6435,12870,24310
%N Triangle in which n-th row is binomial(n+k-1,k), for column k=1..n.
%H Harvey P. Dale, <a href="/A165257/b165257.txt">Table of n, a(n) for n = 1..1000</a>
%e 1;
%e 2, 3;
%e 3, 6, 10;
%e 4, 10, 20, 35;
%e 5, 15, 35, 70, 126;
%e 6, 21, 56, 126, 252, 462;
%e 7, 28, 84, 210, 462, 924, 1716;
%t Table[Binomial[n+k-1,k],{n,10},{k,n}]//Flatten (* _Harvey P. Dale_, Jul 31 2021 *)
%o (PARI) tabl(nn) = {for (n=1, nn, for (k=1, n, print1( binomial(n+k-1, k), ", ");); print(););} \\ _Michel Marcus_, Jun 12 2013
%Y A059481 with the first column (k = 0) removed.
%Y Cf. A030662 (row sums), A001700 (diagonal).
%K easy,nonn,tabl
%O 1,2
%A Daniel McLaury (daniel.mclaury(AT)gmail.com), Sep 11 2009
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