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Table read by rows: T(n,k) = if n<=k then n else Sum(T(n-i,k):1<=i<=k), 1<=k<=n, triangle read by rows.
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%I #6 May 26 2017 16:41:45

%S 1,1,2,1,3,3,1,5,6,4,1,8,11,10,5,1,13,20,19,15,6,1,21,37,36,29,21,7,1,

%T 34,68,69,56,41,28,8,1,55,125,134,109,80,55,36,9,1,89,230,258,214,157,

%U 108,71,45,10,1,144,423,497,423,310,213,140,89,55,11,1,233,778,958,831

%N Table read by rows: T(n,k) = if n<=k then n else Sum(T(n-i,k):1<=i<=k), 1<=k<=n, triangle read by rows.

%C T(n,1) = 1; T(n,n) = n;

%C T(n,2) = A000045(n+1) for n>1;

%C T(n,3) = A001590(n+2) for n>2;

%C T(n,n-2) = A028387(n-3) for n>2;

%C T(n,n-1) = A000217(n-1) for n>1;

%K nonn,tabl

%O 1,3

%A _Reinhard Zumkeller_, Nov 29 2004