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.

A245331 Number of truncated Pi decimal digits that yield record approximations to Pi when the concatenation of the first half of the digits is divided by the second half.

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%I A245331 #9 Jul 22 2014 10:27:34
%S A245331 2,23,87,157,1523,3445551,26620870,30512347,72713283,344661698,
%T A245331 1129330411,3886591581,5085084202,11916345303,15510679381
%N A245331 Number of truncated Pi decimal digits that yield record approximations to Pi when the concatenation of the first half of the digits is divided by the second half.
%C A245331 For odd terms, the number of digits in the first "half" is one more than in the second half. Even terms imply the second half begins with 1; odd terms, with 9.
%C A245331 The second-half numbers:
%C A245331 1  1
%C A245331 2  97932384626
%C A245331 3  99375105820974944592..
%C A245331 4  99862803482534211706..
%C A245331 5  99999983729780499510..
%C A245331 6  99999993176688420006..
%C A245331 7  10000000420467135547..
%C A245331 8  99999998414267344764..
%C A245331 9  99999999542282360035..
%C A245331 10 10000000012202360559..
%C A245331 11 99999999941927584272..
%C A245331 12 99999999948261395946..
%C A245331 13 10000000002413899137..
%C A245331 14 99999999975954453917..
%C A245331 15 99999999988383727123..
%e A245331 a(1) is 2 because 3/1 (1+1 digits) provides the first approximation to Pi. a(2) is 23 because 314159265358/97932384626 (12+11 digits) provides the next better approximation.
%Y A245331 Cf. A000796, A048940, A193940.
%K A245331 nonn,base
%O A245331 1,1
%A A245331 _Eric Angelini_ and _Hans Havermann_, Jul 18 2014
%E A245331 a(12)-a(15) from _Hans Havermann_, Jul 19 2014