cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A159345 #21 Aug 14 2024 01:49:55
%S A159345 3,22,63,135,555,1301,4607,15441,33852,240488,694409,857993,5563724,
%T A159345 9289707,28048931,129440103,262527982,1982424660,8858170624,
%U A159345 17601613331
%N A159345 a(n) is the number of digits in the decimal expansion of Pi needed to contain a repeated n-digit substring.
%H A159345 Dave Andersen, <a href="http://www.angio.net/pi/piquery">The Pi-Search Page.</a>
%H A159345 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 A159345 We need 3 digits (141) to find the first digit to repeat (the repeated digit is 1).
%e A159345 We need 22 digits (1415926535897932384626) to find the first 2 digit repeat (the repeated 2-digit substring is 26).
%Y A159345 Cf. A000796 (Pi), A197123 (the repeated substring).
%K A159345 base,nonn,hard
%O A159345 1,1
%A A159345 _Peter de Rivaz_, Oct 15 2011
%E A159345 a(20) from _Jeff Sponaugle_, Aug 13 2024