A278975 In the ternary Pi race between digits zero and two, where the race leader changes.

2, 14, 17, 33, 156, 189, 4853, 5494, 5541, 5548, 5663, 5665, 5668, 5673, 5686, 5689, 5702, 5704, 5719, 5732, 5739, 5831, 5834, 5839, 5845, 5847, 5905, 5913, 5925, 5928, 5950, 5978, 5980, 5986, 6000

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 twos. 2 is in the sequence because with the initial 2 digits of ternary Pi, 0 has now taken the count lead over 2 (1-0). 14 is the next term because with 14 initial digits of ternary Pi, 2 has now taken the count lead over 0 (5-4). 17 is the next term because with 17 initial digits, 0 regains the count lead over 2 (6-5).
		

Links

• Hans Havermann, Table of n, a(n) for n = 1..2508

Crossrefs

Cf. A004602, A278920, A278974, A278976, A278978.

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 > t && flag != 1) || (z < t && flag != -1), AppendTo[lst, k]; flag = -flag]; k++]; lst