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A336880 Numbers with decimal expansion d_1, ..., d_w such that for any k in 1..w there is some m in 1..w such that d_k = d_m = abs(k - m). 3

%I #9 Aug 11 2020 20:52:41

%S 0,11,110,111,202,1100,1110,1111,2020,2222,3003,3113,11000,11011,

%T 11100,11110,11111,11202,20200,20202,20211,22220,22222,23203,30030,

%U 30232,31130,33033,40004,40114,41104,41114,42024,110000,110011,110110,110111,110202,111000

%N Numbers with decimal expansion d_1, ..., d_w such that for any k in 1..w there is some m in 1..w such that d_k = d_m = abs(k - m).

%C This sequence has similarities with A336668.

%C All repunits (A002275) belong to this sequence.

%C The concatenation of two terms is also a term.

%C The digit reversal (A004086) of a term is also a term.

%C For any d in 1..9, d * (1 + 10^d) is the first term containing the digit d.

%H Rémy Sigrist, <a href="/A336880/b336880.txt">Table of n, a(n) for n = 1..10000</a>

%e Regarding 30232:

%e - the first digit 3 is 3 positions away from the second digit 3 and vice versa,

%e - the digit 0 matches itself,

%e - the first digit 2 is 2 positions away from the second digit 2 and vice versa,

%e - so 30232 belongs to this sequence.

%o (PARI) is(n, base=10) = { my (d=digits(n, base)); for (k=1, #d, if ((k-d[k]<1 || d[k-d[k]]!=d[k]) && (k+d[k]>#d || d[k+d[k]]!=d[k]), return (0)));

%o return (1) }

%Y Cf. A002275, A144795 (binary analog), A336668.

%K nonn,base

%O 1,2

%A _Rémy Sigrist_, Aug 06 2020

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Last modified April 19 07:38 EDT 2024. Contains 371782 sequences. (Running on oeis4.)