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n-th run has length n-th positive triangular number, with digits 0 and 1 only, starting with 0.
2

%I #3 Mar 30 2012 17:33:54

%S 0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,

%T 0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,

%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0

%N n-th run has length n-th positive triangular number, with digits 0 and 1 only, starting with 0.

%e .n ..... Run ............................... Length

%e .1 ..... 0 ................................. 1

%e .2 ..... 1,1,1 ............................. 3

%e .3 ..... 0,0,0,0,0,0........................ 6

%e .4 ..... 1,1,1,1,1,1,1,1,1,1 ............... 10

%e .5 ..... 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ..... 15

%Y Cf. A000217, A057212, A138150, A138710.

%K easy,nonn

%O 1,1

%A _Omar E. Pol_, Mar 29 2008