A132660 : wrong terms(?!)

zak seidov zakseidov at yahoo.com
Tue Nov 20 04:26:18 CET 2007


Smth's wrong with A132660:

Only 7 terms are OK while 8 not(?!):

{True, False, True, False, False, False, True, True,
True, False, True, False, False, True, False}

Zak

%I A132660
%S A132660
355877,377395,423413,459764,465392,489154,538271,629721,731618,736989,
%T A132660 753921,823134,835149,856529,961635
%N A132660 Numbers which, together with their squares
in base ten, contain all digits from 1 to 9 exactly
twice.
%C A132660 Also of note is the unique number 314,
which together with its sixth power 958468597212736
has the property that each digit from 1 to 9 occurs
exactly once. Aside from trivial cases that use zeroth
powers, these are all the cases where two numbers that
are powers of the same base have this property.
%C A132660 Found by exhaustive search.
%e A132660 355877^2 = 126648439129.
%K A132660 base,fini,full,nonn,new
%O A132660 1,1
%A A132660 Wei-Hwa Huang (onigame(AT)gmail.com), Nov
15 2007



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