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A319388 Non-palindromic squares. 6

%I #21 Sep 08 2022 08:46:23

%S 16,25,36,49,64,81,100,144,169,196,225,256,289,324,361,400,441,529,

%T 576,625,729,784,841,900,961,1024,1089,1156,1225,1296,1369,1444,1521,

%U 1600,1681,1764,1849,1936,2025,2116,2209,2304,2401,2500,2601,2704,2809,2916,3025

%N Non-palindromic squares.

%C Intersection of A000290 and A029742. - _Felix Fröhlich_, Sep 18 2018

%H Seiichi Manyama, <a href="/A319388/b319388.txt">Table of n, a(n) for n = 1..1000</a>

%p ispali:= proc(n) local L;

%p L:= convert(n,base,10);

%p L = ListTools:-Reverse(L)

%p end proc:

%p remove(ispali, [seq(i^2,i=1..100)]); # _Robert Israel_, Sep 18 2018

%t pb10Q[n_]:=!Module[{idn10=IntegerDigits[n, 10]}, idn10==Reverse[idn10]]; Select[Range[0, 3100]^2, pb10Q] (* _Vincenzo Librandi_, Sep 19 2018 *)

%o (PARI) terms(n) = my(i=0); for(k=0, oo, if(i==n, break); my(s=k^2, d=digits(s)); if(d!=Vecrev(d), print1(s, ", "); i++))

%o /* Print initial 50 terms as follows */

%o terms(50) \\ _Felix Fröhlich_, Sep 18 2018

%o (Magma) [n^2: n in [0..60] | not Intseq(n^2) eq Reverse(Intseq(n^2))]; // _Vincenzo Librandi_, Sep 19 2018

%Y Cf. A000290, A002113, A002779, A029742, A035090, A319389.

%K nonn,base

%O 1,1

%A _Seiichi Manyama_, Sep 18 2018

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Last modified April 23 02:23 EDT 2024. Contains 371906 sequences. (Running on oeis4.)