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A037474 a(n) = Sum{d(i)*8^i: i=0,1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is the base 7 representation of n. 14

%I #18 Oct 20 2020 09:04:55

%S 0,1,2,3,4,5,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,

%T 29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,

%U 64,65,66,67,68,69,70,72,73,74,75,76,77,78,80,81,82,83,84,85

%N a(n) = Sum{d(i)*8^i: i=0,1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is the base 7 representation of n.

%C Numbers without digit 7 in base 8. Complement of A337239. - _François Marques_, Oct 13 2020

%H François Marques, <a href="/A037474/b037474.txt">Table of n, a(n) for n = 0..10000</a> (first 1000 terms from Clark Kimberling)

%e a(48)=54 because 48 is 66_7 in base 7 and 66_8=54. - _François Marques_, Oct 13 2020

%t Table[FromDigits[RealDigits[n, 7], 8], {n, 0, 100}] (* _Clark Kimberling_, Aug 14 2012 *)

%o (PARI) a(n) = fromdigits(digits(n, 7), 8); \\ _François Marques_, Oct 13 2020

%Y Cf. Numbers with at least one digit b-1 in base b : A074940 (b=3), A337250 (b=4), A337572 (b=5), A333656 (b=6), A337141 (b=7), A337239 (b=8), A338090 (b=9), A011539 (b=10), A095778 (b=11).

%Y Cf. Numbers with no digit b-1 in base b: A005836 (b=3), A023717 (b=4), A020654 (b=5), A037465 (b=6), A020657 (b=7), this sequence (b=8), A037477 (b=9), A007095 (b=10), A171397 (b=11).

%K nonn,base,easy

%O 0,3

%A _Clark Kimberling_

%E Offset changed to 0 by _Clark Kimberling_, Aug 14 2012

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Last modified May 3 20:47 EDT 2024. Contains 372225 sequences. (Running on oeis4.)