A278976 In the ternary Pi race between digits one and two, where the race leader changes.

1, 216, 334, 349, 351, 426, 434, 576, 591, 632, 636, 638, 649, 656, 660, 665, 764, 771, 936, 939, 953, 1125, 1127, 1165, 1168, 1198, 190780, 190793, 190797, 190870, 190880, 191094

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 ones and twos. 1 is in the sequence because with the initial digit of ternary Pi, 1 has now taken the count lead over 2 (1-0). 216 is the next term because with 216 initial digits of ternary Pi, 2 has now taken the count lead over 1 (75-74). 334 is the next term because with 334 initial digits, 1 regains the count lead over 2 (119-118).
		

Links

• Hans Havermann, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A004602, A278920, A278974, A278975, A278979.

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