login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007093 Numbers in base 7.
(Formerly M0511)
38
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, 34, 35, 36, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 60, 61, 62, 63, 64, 65, 66, 100, 101, 102, 103, 104, 105, 106, 110, 111, 112, 113, 114, 115, 116, 120 (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

Nathaniel Johnston, Table of n, a(n) for n = 0..10000

R. G. Wilson, V, Letter to N. J. A. Sloane, Sep. 1992

Index entries for 10-automatic sequences.

FORMULA

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

MAPLE

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

MATHEMATICA

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

PROG

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

(PARI) a(n) = fromdigits(digits(n, 7)); \\ Michel Marcus, Aug 12 2018

CROSSREFS

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

Sequence in context: A143693 A143694 A037476 * A285469 A302706 A047423

Adjacent sequences:  A007090 A007091 A007092 * A007094 A007095 A007096

KEYWORD

nonn,easy,base

AUTHOR

N. J. A. Sloane, Robert G. Wilson v

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 14 05:36 EST 2019. Contains 329978 sequences. (Running on oeis4.)