Search: id:A085315
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%I A085315
%S A085315 1,2,7,11,101,111,1001,1011,1101,10001,10011,10101,11001,11011,100001,
%T A085315 100011,100101,100111,101001,101011,101101,110001,110011,110101,111001,
%U A085315 1000001,1000011,1000101,1000111,1001001,1001011,1001101,1010001
%N A085315 Numbers such that first reversing digits and after forming its cube equals 
               the result of first-form-cube and after-reverse operation with exclusion 
               of cases divisible by 10.
%F A085315 Solutions to rev[x^3]=rev[x]^3 without numbers divisible by 10.
%e A085315 n=100111,rev[n]=111001, n^3=1003333697667631
%e A085315 rev[n^3]=111001^3=1367667963333001=rev[n]^3
%t A085315 nd[x_, y_] := 10*x+y; tn[x_] := Fold[nd, 0, x] rt[x_] := tn[Reverse[IntegerDigits[x]]] 
               Do[s=rt[n^3]; s1=rt[n]^3; If[Equal[s, s1]&& !Equal[Mod[n, 10], 0], 
               k=k+1; Print[n]], {n, 1, 10000000}]; k
%Y A085315 Cf. A085305.
%Y A085315 Sequence in context: A073623 A101592 A135066 this_sequence A002780 A069885 
               A069748
%Y A085315 Adjacent sequences: A085312 A085313 A085314 this_sequence A085316 A085317 
               A085318
%K A085315 base,nonn
%O A085315 1,2
%A A085315 Labos E. (labos(AT)ana.sote.hu), Jul 01 2003

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