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 A007093 Numbers in base 7. (Formerly M0511) 17

%I M0511

%S 0,1,2,3,4,5,6,10,11,12,13,14,15,16,20,21,22,23,24,25,26,30,31,32,33,

%T 34,35,36,40,41,42,43,44,45,46,50,51,52,53,54,55,56,60,61,62,63,64,65,

%U 66,100,101,102,103,104,105,106,110,111,112,113,114,115,116,120

%N Numbers in base 7.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Nathaniel Johnston, <a href="/A007093/b007093.txt">Table of n, a(n) for n = 0..10000</a>

%F a(0)=0 a(n)=10*a(n/7) if n==0 (mod 7) a(n)=a(n-1)+1 otherwise. - Benoit Cloitre, Dec 22, 2002

%p A007093 := proc(n) local l: if(n=0)then return 0: fi: l:=convert(n,base,7): return op(convert(l,base,10,10^nops(l))): end: seq(A007093(n),n=0..63); # Nathaniel Johnston, May 06 2011

%t Table[ FromDigits[ IntegerDigits[n, 7]], {n, 0, 66}]

%o (PARI) a(n)=if(n<1,0,if(n%7,a(n-1)+1,10*a(n/7)))

%Y Cf. A000042, A007088, A007089, A007090, A007091, A007092, A007094, A007095.

%K nonn,easy,base

%O 0,3

%A _N. J. A. Sloane_, _Robert G. Wilson v_

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