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A159345 a(n) is the number of digits in the decimal expansion of Pi needed to contain a repeated n-digit substring. 3

%I #17 Jul 15 2015 10:18:12

%S 3,22,63,135,555,1301,4607,15441,33852,240488,694409,857993,5563724,

%T 9289707,28048931,129440103,262527982,1982424660,8858170624

%N a(n) is the number of digits in the decimal expansion of Pi needed to contain a repeated n-digit substring.

%H Dave Andersen, <a href="http://www.angio.net/pi/piquery">The Pi-Search Page.</a>

%H David H. Bailey, <a href="http://www.davidhbailey.com/dhbpapers/pi.pdf">The computation of to 29,360,000 decimal digits using Borweins' quartically convergent algorithm</a>, Mathematics of Computation, 50(1988), 283-296.

%e We need 3 digits (141) to find the first digit to repeat (the repeated digit is 1).

%e We need 22 digits (1415926535897932384626) to find the first 2 digit repeat (the repeated 2-digit substring is 26).

%Y Cf. A000796 (Pi), A197123 (the repeated substring).

%K base,nonn,hard

%O 1,1

%A _Peter de Rivaz_, Oct 15 2011

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)