A364711Decimal expansion of (negative of) the real part of (-sqrt(2))^^10, where ^^ indicates tetration or hyper-4 (e.g., 2^^4 = 2^(2^(2^2))).

1, 4, 1, 4, 2, 1, 3, 5, 6, 2, 3, 7, 3, 0, 9, 5, …

The first 3 terms appear at position 1.

141592653589793238462643383…
position 1
termsstringfirst positionoccurrences
11199,997,334
214110,002,079
31411999,577
414141,636100,102
51414252,6389,930
614142152,6381,000
7141421352,638103
81414213552,63812
9141421356not within 1,000,000,0000
101414213562not within 1,000,000,0000
1114142135623not within 1,000,000,0000
12141421356237not within 1,000,000,0000

Searched the first 1,000,000,000 digits. Strings longer than 12 digits are not indexed.