A375789
First position index for A197123(n) in the decimal expansion of Pi.
Original entry on oeis.org
1, 6, 4, 50, 397, 496, 4167, 15052, 30627, 182105, 550497, 447673, 3143598, 4821309, 19552188, 67889102, 109303021, 378355224
Offset: 1
For n=3, the first string of 3 digits to repeat in Pi is A197123(3) = 592 and it had first occurred at position a(3) = 4,
Pi = 3.141592 ... 592...
^ ^
position 4 61
A291600
First 10-digit number to appear n times in the decimal expansion of Pi.
Original entry on oeis.org
3141592653, 4392366484, 9526413073, 7454969632, 1459184231, 3955267283
Offset: 1
a(2) = 4392366484 because 4392366484 is the first 10-digit number to appear 2 times in the decimal expansion of Pi.
A159345
a(n) is the number of digits in the decimal expansion of Pi needed to contain a repeated n-digit substring.
Original entry on oeis.org
3, 22, 63, 135, 555, 1301, 4607, 15441, 33852, 240488, 694409, 857993, 5563724, 9289707, 28048931, 129440103, 262527982, 1982424660, 8858170624, 17601613331
Offset: 1
We need 3 digits (141) to find the first digit to repeat (the repeated digit is 1).
We need 22 digits (1415926535897932384626) to find the first 2 digit repeat (the repeated 2-digit substring is 26).
A279860
a(n) is the first n-digit substring to repeat in the decimal expansion of e.
Original entry on oeis.org
2, 18, 182, 1828, 98793, 987931, 4349076, 82549802, 450388721, 5291493974, 72883660263, 476539957100, 2557556217677, 45820090256930, 441340408673681, 4413404086736815, 4490816865108378, 44908168651083787, 3369635849169468729, 29845348176416445308, 561387588857094780748, 8238609087161769234440
Offset: 1
a(2) = 18 because 18 is the first 2-digit number to repeat in the decimal expansion of e = 2.7(18)28(18)...
2 appears at positions 0 and 4.
18 appears at positions 2 and 6.
182 appears at positions 2 and 6.
1828 appears at positions 2 and 6.
98793 appears at positions 478 and 494.
987931 appears at positions 478 and 494.
4349076 appears at positions 170 and 2731.
...
A331881
a(n) is the first n-digit substring to occur n times in the decimal expansion of the fractional part of Pi.
Original entry on oeis.org
1, 26, 446, 2796, 86538, 872117, 1591292, 66416662
Offset: 1
a(1) = 1, because '1' is the first 1-digit string appearing 1 time (at position 1);
a(2) = 26, because '26' is the first 2-digit string appearing 2 times (at positions 6 and 21);
a(3) = 446, because '446' is the first 3-digit string appearing 3 times (at positions 125, 182 and 217);
and so on.
Cf.
A331882 (the number of digits needed to find the repeated n-digit strings).
Showing 1-5 of 5 results.
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