A278974 In the ternary Pi race between digits zero and one, where the race leader changes.

1, 3, 8, 1481, 1505, 1509, 1513, 1541, 1567, 1596, 1730, 1734, 1739, 1741, 1769, 1772, 1783, 1790, 66446, 66489, 66493, 66496, 68547, 68554, 68871, 69116, 69146, 69190, 69194, 69268, 69270, 69379, 69381, 69389, 241170

Offset: 1

Author

Hans Havermann and Robert G. Wilson v, Dec 03 2016

Keywords

• nonn
• base

Examples

			Ternary Pi is 10.01021101222201021100211...
With no digits of ternary Pi, there are an equal number of zeros and ones. 1 is in the sequence because with the initial digit of ternary Pi, 1 has now taken the count lead over 0 (1-0). 3 is the next term because with 3 initial digits of ternary Pi, 0 has now taken the count lead over 1 (2-1). 8 is the next term because with 8 initial digits, 1 regains the count lead over 0 (4-3).
		

Links

• Hans Havermann and Robert G. Wilson v, Table of n, a(n) for n = 1..395

Crossrefs

Cf. A004602, A278920, A278975, A278976, A278977.

Programs

Mathematica

pib = RealDigits[Pi, 3, 5000000][[1]]; flag = 1; z = o = t = 0; k = 1; lst = {}; While[k < 5000001, Switch[ pib[[k]], 0, z++, 1, o++, 2, t++]; If[(z > o && flag != 1) || (z < o && flag != -1), AppendTo[lst, k]; flag = -flag]; k++]; lst