A258640 - OEIS

%I #9 Jun 12 2015 05:30:09

%S 1,3,4,8,9,80,9,69,0,7,7,8,2,0,5,3,7,0,9,0,8,37,4,0,55,75,99,50,7,0,5,

%T 97,27,9,1,9,8,55,9,48,87,2,8,36,95,79,25,3,88,20,5,47,8,6,37,70,54,

%U 60,8,8,60,4,50,0,5,2,6,0,7,130,18,86,2,34

%N Whole number sieve of square root of 2.

%H Manfred Scheucher, <a href="/A258640/b258640.txt">Table of n, a(n) for n = 1..544</a>

%H Manfred Scheucher, <a href="/A258640/a258640.sage.txt">Sage Script</a>

%e Find the first occurrence of 0 (the first whole number) in the digits of sqrt(2) (only 35 digits in this illustration):

%e 14142135623730950488016887242096980..., and replace it with a space:

%e 1414213562373 950488016887242096980...  Repeat the process with the next whole number, 1:

%e 414213562373 950488016887242096980...  Then 2:

%e 414 13562373 950488016887242096980...  Then 3:

%e 414 1 562373 950488016887242096980...  Then 4,5,6,7, etc., until the first occurrence of every counting number is eliminated from the digits of sqrt(2).

%e      1      3    4     8      9    ...  Then consolidate gaps between the remaining digits into a single comma:

%e 1,3,4,8,9,80,9,69,0,7,7,8,2,0,5,3, ...  to produce the first terms in the whole number sieve of sqrt(2).

%Y Cf. A002193, A248831, A247747, A257835, A258481.

%K nonn,base

%O 1,2

%A _Manfred Scheucher_, Jun 06 2015