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Search: id:A033045
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| A033045 |
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Numbers whose set of base 8 digits is {0,1}. |
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+0
5
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| 0, 1, 8, 9, 64, 65, 72, 73, 512, 513, 520, 521, 576, 577, 584, 585, 4096, 4097, 4104, 4105, 4160, 4161, 4168, 4169, 4608, 4609, 4616, 4617, 4672, 4673, 4680, 4681, 32768, 32769, 32776, 32777, 32832, 32833, 32840, 32841, 33280, 33281, 33288
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Sums of distinct powers of 8.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1023
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FORMULA
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a(n)=Sum{d(i)*8^i: i=0, 1, ..., m}, where Sum{d(i)*2^i: i=0, 1, ..., m} is the base 2 representation of n.
a(n) = A097254(n)/7.
a(2n) = 8*a(n), a(2n+1) = a(2n)+1.
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EXAMPLE
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a(7)=72 because 72{10} = 110{8}.
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CROSSREFS
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Cf. A000695, A005836, A033043-A033052.
Row 8 of array A104257.
Adjacent sequences: A033042 A033043 A033044 this_sequence A033046 A033047 A033048
Sequence in context: A042847 A121330 A042873 this_sequence A025633 A038287 A041140
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KEYWORD
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nonn,base
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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More terms from Patrick De Geest (pdg(AT)worldofnumbers.com), Dec 23 2000
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