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

4

`%I #12 Dec 13 2017 04:19:22
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`%S 0,2,4,7,9,15,17,18,22,23,1480,1483,1485,1487,1488,1492,1494,1498,
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`%T 1499,1503,1504,1507,1508,1511,1512,1516,1518,1529,1537,1539,1540,
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`%U 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
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`%N Number of initial digits of ternary Pi wherein the digit counts of zeros and ones are exactly equal.
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`%C 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.
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`%H Hans Havermann, <a href="/A278977/b278977.txt">Table of n, a(n) for n = 1..1194</a>
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`%e Ternary Pi is 10.01021101222201021100211...
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`%e 0 is in the sequence because the first 0 digits contain 0 zeros and 0 ones.
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`%e 22 is in the sequence because the first 22 digits contain 8 zeros and 8 ones.
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`%e 23 is in the sequence because the first 23 digits contain 8 zeros and 8 ones.
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`%Y Cf. A004602, A039624, A278974, A278978, A278979.
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`%K nonn,base
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`%O 1,2
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`%A _Hans Havermann_, Dec 03 2016
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