A069659 => A061433 ?

N. J. A. Sloane njas at research.att.com
Sat Aug 5 17:35:11 CEST 2006


Zak, thanks for pointing out this pair.
I have modified them abit.
Maybe someone will now compute more terms and find out when they first differ!
These may be good candidates for b-files.
Neil

The new versions are:

%I A061433
%S A061433 9,81,961,9801,99856,998001,9998244,99980001,999950884,9999800001,
%T A061433 99999515529,999998000001,9999995824729,99999980000001,999999961946176,
%U A061433 9999999800000001,99999999989350756,999999998000000001
%N A061433 Largest n-digit square.
%C A061433 When (if ever) does this differ from A069659?
%F A061433 a(n)=(ceil(10^(n/2))-1)^2 - Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 30 2003
%e A061433 a(4) = 9801 = 99^2 has 4 digits while 100^2 = 10000 has 5 digits.
%p A061433 A061433 := n->(ceil(10^(n/2))-1)^2;
%Y A061433 Cf. A061432.
%K A061433 nonn,base,easy
%O A061433 1,1
%A A061433 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 03 2001
%E A061433 More terms from Larry Reeves (larryr(AT)acm.org), May 16 2001
 
%I A069659
%S A069659 9,81,961,9801,99856,998001,9998244,99980001,999950884,9999800001,
%T A069659 99999515529,999998000001,9999995824729,99999980000001,999999961946176,
%U A069659 9999999800000001,99999999989350756,999999998000000001
%N A069659 Largest n-digit perfect power.
%C A069659 Are there terms which are not perfect squares? In other words, when (if ever) does this differ from A061433.
%Y A069659 Cf. A061433.
%K A069659 nonn,base
%O A069659 1,1
%A A069659 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 04 2002
%E A069659 More terms from Ryan Propper (rpropper(AT)stanford.edu), Oct 10 2005






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