login
First occurrence of n consecutive n's in the decimal expansion of sqrt(2).
0

%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