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Search: id:A033044
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| A033044 |
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Numbers whose set of base 7 digits is {0,1}. |
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+0
6
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| 0, 1, 7, 8, 49, 50, 56, 57, 343, 344, 350, 351, 392, 393, 399, 400, 2401, 2402, 2408, 2409, 2450, 2451, 2457, 2458, 2744, 2745, 2751, 2752, 2793, 2794, 2800, 2801, 16807, 16808, 16814, 16815, 16856, 16857, 16863, 16864, 17150, 17151, 17157
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Sums of distinct powers of 7.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1024
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FORMULA
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a(n)=Sum{d(i)*7^i: i=0, 1, ..., m}, where Sum{d(i)*2^i: i=0, 1, ..., m} is the base 2 representation of n.
a(n) = A097253(n)/6.
a(2n) = 7*a(n), a(2n+1) = a(2n)+1.
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CROSSREFS
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Cf. A000695, A005836, A033043-A033052, A037412.
Row 7 of array A104257.
Sequence in context: A041106 A119453 A047192 this_sequence A025630 A036566 A116554
Adjacent sequences: A033041 A033042 A033043 this_sequence A033045 A033046 A033047
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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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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 3 2004
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