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A283714 a(n) is the first occurrence after a(n-1) of the n-th digit in the decimal expansion of Pi-3, beginning with a(0)=1. 1

%I #16 Jan 19 2019 16:27:10

%S 1,3,19,37,48,55,63,69,90,91,109,113,122,139,144,170,173,194,197,201,

%T 211,221,226,227,230,231,233,237,241,242,247,252,264,275,279,305,321,

%U 324,328,343,344,347,353,358,388,391,401,405,411,417,421,444,447,456,493,496,506,511,527,528,530,534,542

%N a(n) is the first occurrence after a(n-1) of the n-th digit in the decimal expansion of Pi-3, beginning with a(0)=1.

%C Skip the first decimal digit of Pi, and then look for the first occurrence of each of the digits in order, only moving forward.

%C This sequence arose as a result of the claim that the digits of Pi appear in order again later on, if you allow gaps between subsequent digits.

%C a(n) ~ 10n. - _Robert G. Wilson v_, Mar 15 2017

%H Robert G. Wilson v, <a href="/A283714/b283714.txt">Table of n, a(n) for n = 0..10000</a> (corrected by Ray Chandler, Jan 19 2019)

%e a(1) = 3, because the first occurrence of the first decimal digit of Pi after the first decimal digit is at the 3rd decimal digit.

%e a(2) = 19, because the next occurrence of the second decimal digit of Pi after the 3rd decimal digit is at the 19th decimal digit.

%t pid = RealDigits[Pi - 3, 10, 10000][[1]]; a[0] = 1; a[n_] := a[n] = SelectFirst[ Flatten[ Position[ pid, pid[[n]], 1, 200]], a[n -1] < # &]; Array[a, 100] (* _Robert G. Wilson v_, Mar 15 2017 *)

%Y Cf. A000796.

%K nonn,base,easy

%O 0,2

%A _Christian Perfect_, Mar 15 2017

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)