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A097930 Numbers in base 10 that are palindromic in bases 5 and 6. 22

%I #32 Mar 02 2019 03:54:59

%S 0,1,2,3,4,67,98,104,651,2293,3074,26691,27741,704396,723296,755846,

%T 883407,48616624,295979506,297379006,402327541,198522549056,

%U 204185363456,240971251611,246467321391,303520083621,330347455102

%N Numbers in base 10 that are palindromic in bases 5 and 6.

%C Intersection of A029952 and A029953. - _Michel Marcus_, Oct 09 2014

%H Giovanni Resta, <a href="/A097930/b097930.txt">Table of n, a(n) for n = 1..43</a> (first 29 terms from Robert G. Wilson v)

%H Cino Hilliard, <a href="http://groups.msn.com/BC2LCC/page.msnw?fc_p=%2FPari%20GP%20scripts&amp;fc_a=0">util.gp PARI Functions not in the PARI Library</a>. [broken link]

%H Cino Hilliard, <a href="/A097928/a097928.txt">Pari Utilities (cached)</a>

%e 27741_10 = 1341431_5;

%e 27741_10 = 332233_6.

%t Do[ p5 = IntegerDigits[n, 5]; If[ FromDigits[ Reverse[ p5]] == FromDigits[p5], p6 = IntegerDigits[n, 6]; If[ FromDigits[ Reverse[p6]] == FromDigits[p6], Print[n]]], {n, 10^8}] (* _Robert G. Wilson v_, Sep 07 2004 *)

%o (PARI) /* Requires reading the util.gp file in the link into the gp session. */

%o palbase(n,b1,b2) = { for(x=1,n, if(ispal(base(10,b1,x))& ispal(base(10,b2,x)),print1(x",")) ) }

%Y Cf. A029952 (base 5), A029953 (base 6).

%K base,nonn

%O 1,3

%A _Cino Hilliard_, Sep 04 2004

%E More terms from _Robert G. Wilson v_, Sep 07 2004

%E a(19)-a(27) from _Donovan Johnson_, Apr 23 2010

%E a(28) from _Robert G. Wilson v_, Jul 17 2015

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)