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A007092 Numbers in base 6.
(Formerly M0532)
187
0, 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, 21, 22, 23, 24, 25, 30, 31, 32, 33, 34, 35, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 55, 100, 101, 102, 103, 104, 105, 110, 111, 112, 113, 114, 115, 120, 121, 122, 123, 124, 125, 130, 131, 132, 133, 134, 135, 140, 141, 142, 143, 144, 145 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Nonnegative integers with no decimal digits > 5. - Karol Bacik, Sep 25 2012
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Wikipedia, Senary
FORMULA
a(0)=0, a(n) = 10*a(n/6) if n==0 (mod 6), and a(n) = a(n-1)+1 otherwise. - Benoit Cloitre, Dec 22 2002
a(n) = Sum{d(i)*10^i: i=0,1,...,m}, where Sum{d(i)*6^i: i=1,2,...,m} = n, and d(i) in {0,1,...,5}. - Karol Bacik, Sep 25 2012
MAPLE
A007092 := proc(n) local l: if(n=0)then return 0: fi: l:=convert(n, base, 6): return op(convert(l, base, 10, 10^nops(l))): end: seq(A007092(n), n=0..59); # Nathaniel Johnston, May 06 2011
MATHEMATICA
Table[ FromDigits[ IntegerDigits[n, 6]], {n, 0, 65}]
PROG
(PARI) a(n)=if(n%6, a(n-1)+1, if(n, 10*a(n/6), 0)) \\ corrected by Charles R Greathouse IV, Sep 25 2012
(PARI) a(n)=n=digits(n, 6); n[1]=Str(n[1]); eval(concat(n)) \\ Charles R Greathouse IV, Sep 25 2012
(PARI) apply( A007092(n)=fromdigits(digits(n, 6)), [0..66]) \\ M. F. Hasler, Nov 18 2019
(Haskell)
a007092 0 = 0
a007092 n = 10 * a007092 n' + m where (n', m) = divMod n 6
-- Reinhard Zumkeller, Mar 06 2015
CROSSREFS
Cf. A000042 (base 1), A007088 (base 2), A007089 (base 3), A007090 (base 4), A007091 (base 5), A007093 (base 7), A007094 (base 8), A007095 (base 9).
Sequence in context: A261039 A266117 A037473 * A241213 A362931 A047596
KEYWORD
nonn,easy,base
AUTHOR
STATUS
approved

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Last modified March 19 04:26 EDT 2024. Contains 370952 sequences. (Running on oeis4.)