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A258640 Whole number sieve of square root of 2.

%I A258640 #9 Jun 12 2015 05:30:09
%S A258640 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 A258640 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 A258640 60,8,8,60,4,50,0,5,2,6,0,7,130,18,86,2,34
%N A258640 Whole number sieve of square root of 2.
%H A258640 Manfred Scheucher, <a href="/A258640/b258640.txt">Table of n, a(n) for n = 1..544</a>
%H A258640 Manfred Scheucher, <a href="/A258640/a258640.sage.txt">Sage Script</a>
%e A258640 Find the first occurrence of 0 (the first whole number) in the digits of sqrt(2) (only 35 digits in this illustration):
%e A258640 14142135623730950488016887242096980..., and replace it with a space:
%e A258640 1414213562373 950488016887242096980...  Repeat the process with the next whole number, 1:
%e A258640 414213562373 950488016887242096980...  Then 2:
%e A258640 414 13562373 950488016887242096980...  Then 3:
%e A258640 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 A258640      1      3    4     8      9    ...  Then consolidate gaps between the remaining digits into a single comma:
%e A258640 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 A258640 Cf. A002193, A248831, A247747, A257835, A258481.
%K A258640 nonn,base
%O A258640 1,2
%A A258640 _Manfred Scheucher_, Jun 06 2015