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A212284 First a(n) > 1 whose sum of digits is the same in base 10 as in base n. 1

%I #12 Apr 28 2019 18:31:04

%S 20,21,12,40,50,21,70,153,10,190,108,40,126,135,50,153,162,20,180,190,

%T 70,207,216,80,234,243,30,261,270,190,290,594,102,315,324,40,342,351,

%U 120,370,380,130,792,405,50,423,432,150,450,460,160,480,490,60,504

%N First a(n) > 1 whose sum of digits is the same in base 10 as in base n.

%C There might exist an n for which there is no solution, in which case a(n) would be set to 0 by convention; however, no such case was found so far. Problem: does it exist?

%H Stanislav Sykora, <a href="/A212284/b212284.txt">Table of n, a(n) for n = 2..10000</a>

%e a(12)=108 because 108 is the first number > 1 such that when written in base 10 and in base 12 (i.e., 90), the sum of the expansion digits is the same, namely 9.

%Y Cf. A037308.

%K nonn,easy,base

%O 2,1

%A _Stanislav Sykora_, May 08 2012

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Last modified April 24 17:10 EDT 2024. Contains 371962 sequences. (Running on oeis4.)