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A140740 Triangle read by rows: T(n,n) = 1 and for k with 1 <= k < n: T(n+1,k) = T(n,k) + T(n - n mod k, k).

%I A140740 #2 Mar 30 2012 18:51:00
%S A140740 1,2,1,4,2,1,8,3,2,1,16,6,3,2,1,32,9,4,3,2,1,64,18,8,4,3,2,1,128,27,
%T A140740 12,5,4,3,2,1,256,54,16,10,5,4,3,2,1,512,81,32,15,6,5,4,3,2,1,1024,
%U A140740 162,48,20,12,6,5,4,3,2,1,2048,243,64,25,18,7,6,5,4,3,2,1,4096,486,128,50,24
%N A140740 Triangle read by rows: T(n,n) = 1 and for k with 1 <= k < n: T(n+1,k) = T(n,k) + T(n - n mod k, k).
%C A140740 Central terms: T(2*n-1,n)=n; T(2*n,n)=n+1; T(2*n,n+1)=n;
%C A140740 T(n,k) = n-k+1, for k with n/2 <= k <= n;
%C A140740 sums of rows: A140741;
%C A140740 T(n,1) = A000079(n-1);
%C A140740 T(n,2) = A038754(n-2) for n>1;
%C A140740 T(n,3) = A133464(n-3) for n>2;
%C A140740 T(n,4) = A140730(n-4) for n>3;
%C A140740 T(n,9) = A037124(n-9) for n>8.
%e A140740 .................................... 1
%e A140740 .................................. 2 . 1
%e A140740 .............................. 2^2 . 2 . 1
%e A140740 .......................... 2^3 ... 3 . 2 . 1
%e A140740 ...................... 2^4 ... 2*3 . 3 . 2 . 1
%e A140740 .................. 2^5 ... 3^2 ... 4 . 3 . 2 . 1
%e A140740 .............. 2^6 .. 2*3^2 .. 2*4 . 4 . 3 . 2 . 1
%e A140740 .......... 2^7 ... 3^3 ... 3*4 ... 5 . 4 . 3 . 2 . 1
%e A140740 ...... 2^8 .. 2*3^3 ... 4^2 .. 2*5 . 5 . 4 . 3 . 2 . 1
%e A140740 ... 2^9 ... 3^4 .. 2*4^2 . 3*5 ... 6 . 5 . 4 . 3 . 2 . 1
%e A140740 2^10 . 2*3^4 . 3*4^2 .. 4*5 .. 2*6 . 6 . 5 . 4 . 3 . 2 . 1.
%K A140740 nonn,tabl
%O A140740 1,2
%A A140740 _Reinhard Zumkeller_, May 26 2008