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A023094

a(n) is least k such that k and 2k are anagrams in base n (written in base 10).

32, 18, 8, 350, 480, 21, 104, 125874, 40, 4147, 5712, 65, 15680, 585, 96, 833, 7776, 133, 61600, 46851, 176, 63595, 2232, 225, 106288, 122931, 280, 3857, 91948380, 341, 237184, 83853, 408, 543900, 7236, 481, 8474, 431516631, 560, 622339, 683760, 645

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OFFSET

3,1

COMMENTS

a(n) is divisible by n-1 for all n due to the anagram property: n and 2n are congruent modulo n-1. - Peter Kagey, Dec 23 2016

LINKS

Amiram Eldar, Table of n, a(n) for n = 3..174

Mathematics Stack Exchange, Lower Bound for Anagram Sequence.

FORMULA

a(3n-1) = A000567(n). - Peter Kagey, Dec 16 2016

MATHEMATICA

Table[k = 1; While[! MatchQ @@ Map[Sort@ IntegerDigits[#, n] &, k {1, 2}], k++]; k, {n, 3, 30}] (* Michael De Vlieger, Dec 17 2016 *)

PROG

(PARI) a(n) = {my(k=1); while (vecsort(digits(k, n)) != vecsort(digits(2*k, n)), k++); k; } \\ Michel Marcus, Dec 17 2016

CROSSREFS

Cf. A000567, A023095, A023096, A023097, A023098, A023099, A023100, A023101, A023102.

Sequence in context: A033352 A364904 A140387 * A087502 A070628 A147514

Adjacent sequences: A023091 A023092 A023093 * A023095 A023096 A023097

KEYWORD

nonn,base

AUTHOR

David W. Wilson

STATUS

approved

URL: https://oeis.org/A023094

⇱ A023094 - OEIS