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A259390 Palindromic numbers in bases 7 and 9 written in base 10. 16

%I #8 Aug 18 2015 12:57:29

%S 0,1,2,3,4,5,6,8,40,50,100,164,200,264,300,328,400,2000,3550,8200,

%T 10252,14510,14762,22800,45600,164900,201720,400200,532900,555013,

%U 738100,2756120,2913368,3344352,3501600,4084000,12990350,22674550,194062432,1684866370,2225211080,13575144288,15127811455,20404027400,20537111057,22668403353,30862471355,83714515310,84668107250,796259955485,1202029647736,2088800185930,20268849562000

%N Palindromic numbers in bases 7 and 9 written in base 10.

%H Giovanni Resta, <a href="/A259390/b259390.txt">Table of n, a(n) for n = 1..86</a>

%H <a href="/index/Pac#palindromes">Index entries for sequences related to palindromes</a>

%F Intersection of A029954 and A029955.

%e 264 is in the sequence because 264_10 = 323_9 = 525_7.

%t (* first load nthPalindromeBase from A002113 *) palQ[n_Integer, base_Integer] := Block[{}, Reverse[ idn = IntegerDigits[n, base]] == idn]; k = 0; lst = {}; While[k < 21000000, pp = nthPalindromeBase[k, 9]; If[palQ[pp, 7], AppendTo[lst, pp]; Print[pp]]; k++]; lst

%Y Cf. A048268, A060792, A097856, A097928, A182232, A259374, A097929, A182233, A259375, A259376,

%Y A097930, A182234, A259377, A259378, A249156, A097931, A259380, A259381, A259382, A259383,

%Y A259384, A099145, A259385, A259386, A259387, A259388, A259389, A259390, A099146, A007632,

%Y A007633, A029961, A029962, A029963, A029964, A029804, A029965, A029966, A029967, A029968,

%Y A029969, A029970, A029731, A097855, A250408, A250409, A250410, A250411, A099165, A250412.

%K nonn,base

%O 1,3

%A Eric A. Schmidt and _Robert G. Wilson v_, Jul 17 2015

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Last modified April 19 18:00 EDT 2024. Contains 371797 sequences. (Running on oeis4.)