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A007094 Numbers in base 8.
(Formerly M0498)
221
0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 56, 57, 60, 61, 62, 63, 64, 65, 66, 67, 70, 71, 72, 73, 74, 75, 76, 77, 100, 101, 102, 103, 104, 105, 106, 107, 110, 111 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Wikipedia, Octal
FORMULA
a(0) = 0; a(n) = 10*a(n/8) if n == 0 (mod 8); a(n) = a(n-1) + 1 otherwise. - Benoit Cloitre, Dec 22 2002
G.f.: sum(d>=0, 10^d*(x^(8^d) +2*x^(2*8^d) +3*x^(3*8^d) +4*x^(4*8^d) +5*x^(5*8^d) +6*x^(6*8^d) +7*x^(7*8^d)) * (1-x^(8^d)) / ((1-x^(8^(d+1)))*(1-x))). - Robert Israel, Aug 03 2014
MAPLE
A007094 := proc(n) local l: if(n=0)then return 0: fi: l:=convert(n, base, 8): return op(convert(l, base, 10, 10^nops(l))): end: seq(A007094(n), n=0..66); # Nathaniel Johnston, May 06 2011
MATHEMATICA
Table[FromDigits[IntegerDigits[n, 8]], {n, 0, 70}]
PROG
(PARI) a(n)=if(n<1, 0, if(n%8, a(n-1)+1, 10*a(n/8)))
(PARI) apply( A007094(n)=fromdigits(digits(n, 8)), [0..77]) \\ M. F. Hasler, Nov 18 2019
(Haskell)
a007094 0 = 0
a007094 n = 10 * a007094 n' + m where (n', m) = divMod n 8
-- Reinhard Zumkeller, Aug 29 2013
(Python)
def a(n): return int(oct(n)[2:])
print([a(n) for n in range(74)]) # Michael S. Branicky, Jun 28 2021
CROSSREFS
Cf. A057104; A000042 (base 1), A007088 (base 2), A007089 (base 3), A007090 (base 4), A007091 (base 5), A007092 (base 6), A007093 (base 7), A007095 (base 9).
Sequence in context: A039207 A272576 A039155 * A000433 A031492 A350076
KEYWORD
nonn,easy,base
AUTHOR
STATUS
approved

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Last modified March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)