A278978 -id:A278978 - cp's OEIS frontend

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

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 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).

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

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

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

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.

A278979 Number of initial digits of ternary Pi wherein the digit counts of ones and twos are exactly equal.

Original entry on oeis.org

0, 14, 15, 18, 37, 38, 215, 218, 267, 280, 282, 290, 326, 328, 329, 331, 332, 333, 346, 347, 348, 350, 403, 404, 405, 425, 430, 431, 433, 435, 440, 454, 455, 456, 457, 458, 575, 577, 578, 579, 581, 590, 630, 631, 633, 634, 635, 637, 643, 644, 645, 646, 647, 648, 651, 652, 653, 654, 655, 658, 659, 663, 664, 666, 763, 770, 935, 937, 938, 950, 952, 1124

Offset: 1

Hans Havermann, Dec 03 2016

			Ternary Pi is 10.01021101222201021100211...
0 is in the sequence because the first 0 digits contain 0 ones and 0 twos.
14 is in the sequence because the first 14 digits contain 5 ones and 5 twos.
15 is in the sequence because the first 15 digits contain 5 ones and 5 twos.

Hans Havermann, Table of n, a(n) for n = 1..10000
Hans Havermann, Table of n, a(n) for n = 1..96619

Cf. A004602, A039624, A278976, A278977, A278978.

cp's OEIS Frontend

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

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Mathematica

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

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A278979 Number of initial digits of ternary Pi wherein the digit counts of ones and twos are exactly equal.

Views

Author

Keywords

Examples

Links

Crossrefs