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Search: id:A058898
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| A058898 |
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Inconsummate numbers in base 2: no number is this multiple of the sum of its digits (in base 2). |
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+0
16
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| 13, 19, 25, 26, 35, 38, 47, 49, 50, 52, 55, 67, 70, 76, 94, 95, 97, 98, 100, 103, 104, 109, 110, 115, 117, 131, 134, 140, 151, 152, 157, 159, 171, 175, 179, 183, 185, 187, 188, 190, 193, 194, 196, 199, 200, 203, 206, 208, 217, 218, 220, 227, 229
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Equivalently, these are the natural numbers that cannot be written as the arithmetic mean of distinct powers of 2. [From Brian Kell (s-bkell1(AT)math.unl.edu), Feb 28 2009]
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LINKS
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D. Radcliffe, Inconsummate Numbers
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MAPLE
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For Maple code see A058906.
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MATHEMATICA
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Do[k = n; While[ Apply[ Plus, IntegerDigits[k, 2] ]*n != k && k < 250n, k += n]; If[k == 250n, Print[n] ], {n, 1, 10^3} ]
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CROSSREFS
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Cf. A003635, A052491, A058899-A058907.
Indices of zero entries in A065413. [From Brian Kell (s-bkell1(AT)math.unl.edu), Mar 01 2009]
Sequence in context: A007627 A121877 A109902 this_sequence A123840 A063640 A092104
Adjacent sequences: A058895 A058896 A058897 this_sequence A058899 A058900 A058901
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KEYWORD
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nonn,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 09 2001
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