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First occurrence of n consecutive n's in the decimal expansion of sqrt(3).
0

%I #9 Jul 23 2013 11:23:08

%S 27,215,1651,2279,21640,176497,7728291,77659477,638679423

%N First occurrence of n consecutive n's in the decimal expansion of sqrt(3).

%C Earls sequence for sqrt(3).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/EarlsSequence.html">Earls Sequence</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TheodorussConstantDigits.html">Theodorus's Constant Digits</a>

%e sqrt(3) = 1.73205080756887729352744634150...33228866..., so

%e a(1) = 27 (one 1 first appears at digit 27 after the decimal) and

%e a(2) = 215 (two 2s first occur starting at digit 215).

%Y Cf. A002194 (decimal expansion of sqrt(3)).

%K nonn,base,hard

%O 1,1

%A _Eric W. Weisstein_, Jul 23 2013

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