A059920 - OEIS

%I #3 Mar 31 2012 20:02:00

%S 10,1,20,1,10,30,1,2,11,40,1,2,10,20,50,1,2,3,11,21,60,1,2,3,10,12,30,

%T 70,1,2,3,4,11,20,31,80,1,2,3,4,10,12,21,40,90,1,2,3,4,5,11,13,22,41,

%U 100,1,2,3,4,5,10,12,20,30,50,110,1,2,3,4,5,6,11,13,21,31,51,120,1,2,3

%N If m/n = q + r/n (r < n, n,m >=1), then array a(m,n) = qr (meaning q followed by r). Read by antidiagonals.

%e a(7,3)=21 because 7/3=2+1/3; a(273,24)=119 because 273/24=11+9/24.

%e Array begins

%e 10 20 30 40 50...

%e 1 10 11 20 21 ...

%e 1 2 10 11 ...

%K base,easy,tabl,nonn

%O 1,1

%A _Fabian Rothelius_, Feb 09 2001