A138712 n-th run has length n-th positive triangular number, with digits 0 and 1 only, starting with 0.
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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Offset: 1
Examples
.n ..... Run ............................... Length .1 ..... 0 ................................. 1 .2 ..... 1,1,1 ............................. 3 .3 ..... 0,0,0,0,0,0........................ 6 .4 ..... 1,1,1,1,1,1,1,1,1,1 ............... 10 .5 ..... 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ..... 15