A278979 -id:A278979 - cp's OEIS frontend

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

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

			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).

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

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

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

A278977 Number of initial digits of ternary Pi wherein the digit counts of zeros and ones are exactly equal.

Original entry on oeis.org

0, 2, 4, 7, 9, 15, 17, 18, 22, 23, 1480, 1483, 1485, 1487, 1488, 1492, 1494, 1498, 1499, 1503, 1504, 1507, 1508, 1511, 1512, 1516, 1518, 1529, 1537, 1539, 1540, 1550, 1557, 1559, 1566, 1591, 1592, 1593, 1594, 1595, 1651, 1728, 1729, 1731, 1733, 1735, 1737, 1738, 1740, 1756, 1757, 1762, 1767, 1768, 1771, 1777, 1779, 1781, 1782, 1784, 1789, 66404

Offset: 1

Hans Havermann, Dec 03 2016

The subsequence of number of initial digits of ternary Pi wherein the digit counts of zeros, ones, and twos are all exactly equal begins 0, 15, 18. The next term, if it exists, is > 3^21 > 10^10.

			Ternary Pi is 10.01021101222201021100211...
0 is in the sequence because the first 0 digits contain 0 zeros and 0 ones.
22 is in the sequence because the first 22 digits contain 8 zeros and 8 ones.
23 is in the sequence because the first 23 digits contain 8 zeros and 8 ones.

Hans Havermann, Table of n, a(n) for n = 1..1194

Cf. A004602, A039624, A278974, A278978, A278979.

A278978 Number of initial digits of ternary Pi wherein the digit counts of zeros and twos are exactly equal.

Original entry on oeis.org

0, 1, 13, 15, 16, 18, 19, 20, 31, 32, 127, 146, 147, 151, 152, 154, 155, 183, 184, 188, 4852, 4854, 4855, 5375, 5490, 5493, 5539, 5540, 5542, 5547, 5624, 5625, 5628, 5629, 5649, 5652, 5657, 5659, 5661, 5662, 5664, 5667, 5669, 5670, 5671, 5672, 5674, 5681, 5685, 5687, 5688, 5696, 5701, 5703, 5718, 5731, 5733, 5735, 5738, 5827, 5829, 5830

Offset: 1

Hans Havermann, Dec 03 2016

			Ternary Pi is 10.01021101222201021100211...
0 is in the sequence because the first 0 digits contain 0 zeros and 0 twos.
15 is in the sequence because the first 15 digits contain 5 zeros and 5 twos.
16 is in the sequence because the first 16 digits contain 5 zeros and 5 twos.

Hans Havermann, Table of n, a(n) for n = 1..7441

Cf. A004602, A039624, A278975, A278977, A278979.

cp's OEIS Frontend

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

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A278977 Number of initial digits of ternary Pi wherein the digit counts of zeros and ones are exactly equal.

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A278978 Number of initial digits of ternary Pi wherein the digit counts of zeros and twos are exactly equal.

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