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Table read by rows where row n contains the sorted digits of the integers 0 through n.
0

%I #4 Nov 30 2015 11:53:12

%S 0,0,1,0,1,2,0,1,2,3,0,1,2,3,4,0,1,2,3,4,5,0,1,2,3,4,5,6,0,1,2,3,4,5,

%T 6,7,0,1,2,3,4,5,6,7,8,0,1,2,3,4,5,6,7,8,9,0,0,1,1,2,3,4,5,6,7,8,9,0,

%U 0,1,1,1,1,2,3,4,5,6,7,8,9,0,0,1,1,1,1,1,2,2,3,4,5,6,7,8,9,0,0,1,1,1,1,1,1

%N Table read by rows where row n contains the sorted digits of the integers 0 through n.

%C A037123(n) is the sum of the terms in row n.

%e Row 10, the sorted digits of 0 through 10, is 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9.

%t Flatten[Table[Sort[Flatten[IntegerDigits/@Range[0,n]]],{n,0,15}]] (* _Harvey P. Dale_, Nov 30 2015 *)

%Y Cf. A037123.

%K base,easy,nonn,tabf

%O 0,6

%A _Rick L. Shepherd_, Oct 12 2009