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A334416 Numbers m such that (m / sum of digits of m) is a palindrome. 4

%I #36 Jun 20 2021 02:26:21

%S 1,2,3,4,5,6,7,8,9,12,18,21,24,27,36,42,45,48,54,63,72,81,84,110,132,

%T 198,220,264,330,396,440,550,594,605,660,715,770,792,825,880,935,990,

%U 1010,1056,1188,1212,1310,1386,1452,1584,1782,1810,1812,1815,1818,1848

%N Numbers m such that (m / sum of digits of m) is a palindrome.

%C Not to be confused with A114440 whose first 23 terms are identical to the terms of this sequence, while A114440(24) = 108 and a(24) = 110.

%H Giovanni Resta, <a href="/A334416/b334416.txt">Table of n, a(n) for n = 1..10000</a>

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

%e The number 264 is a term of the sequence because it is divisible by the sum of its digits: 2+6+4=12; 264/12=22 and 22 is a palindrome.

%t Select[Range[2000], PalindromeQ[# / Plus @@ IntegerDigits[#]] &] (* _Amiram Eldar_, Apr 28 2020 *)

%o (PARI) isok(m) = iferr(my(d=digits(m/sumdigits(m))); d==Vecrev(d), E, 0); \\ _Michel Marcus_, Apr 29 2020

%Y Cf. A001101 (similar for primes).

%Y Cf. A334417 (resulting palindromic quotients).

%Y Subsequence of A005349 (Niven (or Harshad) numbers).

%Y Subsequence: A276142 (palindromic terms).

%K nonn,base

%O 1,2

%A _Bernard Schott_, Apr 28 2020

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Last modified August 17 02:18 EDT 2024. Contains 375198 sequences. (Running on oeis4.)