cp's OEIS Frontend

A262198 Numbers such that the number of distinct palindromes contained as substring in their decimal representation differs from the length thereof.

%I A262198 #15 Jun 20 2018 06:54:21
%S A262198 100,200,300,400,500,600,700,800,900,1000,1001,1002,1003,1004,1005,
%T A262198 1006,1007,1008,1009,1010,1020,1021,1030,1031,1040,1041,1050,1051,
%U A262198 1060,1061,1070,1071,1080,1081,1090,1091,1100,1200,1201,1231,1241,1251,1261,1271
%N A262198 Numbers such that the number of distinct palindromes contained as substring in their decimal representation differs from the length thereof.
%C A262198 Or, numbers n such that A055642(n) != A262190(n).
%C A262198 a(22) = 1021 is the first term which differs from "numbers having at least two digits 0 in their decimal representation" (not in OEIS). It seems that A043490 is a subsequence. - _M. F. Hasler_, Jun 19 2018
%H A262198 Reinhard Zumkeller, <a href="/A262198/b262198.txt">Table of n, a(n) for n = 1..10000</a>
%e A262198 a(39) = 1201, containing just 3 trivial palindromes 0, 1 and 2;
%e A262198 1202, also of length = 4, contains exactly 4 palindromes 0, 1, 2 and 202, therefore 1202 is not a term.
%o A262198 (Haskell)
%o A262198 a262198 n = a262198_list !! (n-1)
%o A262198 a262198_list = [x | x <- [0..], a055642 x /= a262190 x]
%o A262198 (PARI) is(n)=#digits(n)!=A262190(n) \\ _M. F. Hasler_, Jun 19 2018
%Y A262198 Cf. A055642, A262190, A262188.
%K A262198 nonn,base
%O A262198 1,1
%A A262198 _Reinhard Zumkeller_, Sep 14 2015
%E A262198 Definition clarified by _M. F. Hasler_, Jun 19 2018