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A272208 Numbers n such that n immediately follows the decimal point in the base-10 representation of sqrt(n). 1

%I #24 May 21 2016 23:26:19

%S 8,77,5711,9797,997997,8053139,60755907,99979997,9999799997,

%T 71515443427,93445113269,999997999997,26369408771424,96872443448748,

%U 99650905131203,99999979999997,751273714618266,3368237924952647,3493498117381256,9999999799999997,35399255736521405,999999997999999997

%N Numbers n such that n immediately follows the decimal point in the base-10 representation of sqrt(n).

%C Sequence includes all numbers of form (10^n-3)(10^n+1) for n >= 1, hence is infinite.

%H David W. Wilson, <a href="/A272208/b272208.txt">Table of n, a(n) for n = 1..27</a>

%e 5711 immediately follows the decimal in sqrt(5711) = 75.5711+, so 5711 is in the sequence.

%e 77327 does not immediately follow the decimal in sqrt(77327) = 278.077327+, so 77327 is not in this sequence.

%o (PARI) is(n)=my(t=10^#Str(n)); sqrtint(t^2*n)%t==n \\ _Charles R Greathouse IV_, May 16 2016

%Y Strict subsequence of A074841.

%K nonn,base,hard

%O 1,1

%A _David W. Wilson_, May 15 2016

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Last modified September 19 02:20 EDT 2024. Contains 376003 sequences. (Running on oeis4.)