A278977 -id:A278977 - cp's OEIS frontend

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

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 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).

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

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

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

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.

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

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

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

Views

Author

Keywords

Examples

Links

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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