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The decimal digits of sqrt(2) = A002193 split into groups as long as given by the string of digits themselves.
1

%I #11 May 27 2024 07:18:28

%S 1,4142,1,3562,37,3095048801688,72420,969807,85,696,7187537,

%T 694807317667973799073247846210,703885038,

%U 75343276415727350138462309122970249248360558507372,1264

%N The decimal digits of sqrt(2) = A002193 split into groups as long as given by the string of digits themselves.

%C The decimal expansion is divided into chunks of lengths of 1, 4, 1, 4, 2 etc. Where a chunk would start with a leading zero, sizes are increased to have a length determined by 2 or more consecutive digits, as for a(6) which does not contain 1 but 13 digits.

%C The next chunk of the sequence will have 880 digits.

%e 1 4142 1 3562 37 3095048801688 72420 969807 85 696 7187537... 1 4 1 4 2 13 5 6 2 3 7

%e Chunk "3095048801688" could not be divided into chunks of size 1, 3, 5, etc. because of the 0 (zero) in second position.

%Y Cf. A106156 (for Pi).

%K base,easy,nonn

%O 1,2

%A _Eric Angelini_, May 08 2005