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A007093 Numbers in base 7.
(Formerly M0511)
16
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; 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

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)))

CROSSREFS

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

Sequence in context: A143693 A143694 A037476 * A047423 A032970 A137691

Adjacent sequences:  A007090 A007091 A007092 * A007094 A007095 A007096

KEYWORD

nonn,easy,base

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.