%I #9 Jul 23 2013 00:43:43
%S 2,114,1481,3308,72459,226697,969836,119555442,2971094743
%N First occurrence of n consecutive n's in the decimal expansion of sqrt(2).
%C Earls sequence for sqrt(2).
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PythagorassConstantDigits.html">Pythagoras's Constant Digits</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/EarlsSequence.html">Earls Sequence</a>
%e sqrt(2) = 1.4142...0912297..., so
%e a(1) = 2 (one 1 first appears at digit 2 after the decimal) and
%e a(2) = 114 (two 2s first occur starting at digit 114).
%Y Cf. A000129 (decimal expansion of sqrt(2)).
%K nonn,base,hard
%O 1,1
%A _Eric W. Weisstein_, Jul 23 2013