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A007091 Numbers in base 5.
(Formerly M0595)
+0
25
0, 1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144, 200, 201, 202, 203, 204, 210, 211, 212, 213 (list; graph; listen)
OFFSET

0,3

COMMENT

Contribution from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 25 2009: (Start)

Nonnegative integers with no decimal digit > 4.

Thus nonnegative integers in base 10 whose doubling by normal addition or multiplication requires no carry operation. (End)

REFERENCES

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

FORMULA

a(0)=0 a(n)=10*a(n/5) if n==0 (mod 5) a(n)=a(n-1)+1 otherwise. - Benoit Cloitre, Dec 22, 2002

MATHEMATICA

Table[ FromDigits[ IntegerDigits[n, 5]], {n, 0, 60}]

PROGRAM

(PARI) a(n)=if(n<1, 0, if(n%5, a(n-1)+1, 10*a(n/5)))

CROSSREFS

Cf. A000042, A007088, A007089, A007090, A007092, A007093, A007094 & A007095.

Adjacent sequences: A007088 A007089 A007090 this_sequence A007092 A007093 A007094

Sequence in context: A098892 A037325 A037469 this_sequence A058185 A080897 A117383

KEYWORD

nonn,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 November 8 20:39 EST 2009. Contains 166234 sequences.


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