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A032549 Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number. 5

%I #22 Oct 25 2019 09:43:52

%S 1,2,3,4,5,6,51,102,105,153,156,207,210,258,261,312,315,2589,2590,

%T 2601,2753,5354,5355,5506,8108,8259,8260,10861,11013,11025,13614,

%U 13615,13626,13766,13778,16379,16380,16531,33045,140403,289065,1123224

%N Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.

%C Decimal 'base-7 looking' numbers divided by their actual base-7 values (n) is an integer.

%H Giovanni Resta, <a href="/A032549/b032549.txt">Table of n, a(n) for n = 1..70</a> (terms < 10^12, first 63 terms from Paolo P. Lava)

%t Select[Range@ 300000, Mod[ FromDigits[ IntegerDigits[#, 7]], #] == 0 &] (* _Giovanni Resta_, Oct 21 2019 *)

%Y Cf. A032548, A032550. See also A032532 for explanation.

%K nonn,base

%O 1,2

%A _Patrick De Geest_, Apr 15 1998

%E Offset set to 1 by _Giovanni Resta_, Oct 21 2019

%E Name edited by _Jon E. Schoenfield_, Oct 25 2019

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Last modified July 14 20:49 EDT 2024. Contains 374323 sequences. (Running on oeis4.)