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A065878
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Numbers which are not an integer multiple of their number of binary 1's.
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4
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3, 5, 7, 9, 11, 13, 14, 15, 17, 19, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 35, 37, 38, 39, 41, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 65, 67, 70, 71, 73, 74, 75, 76, 77, 78, 79, 82, 83, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 97, 98, 99, 100
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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EXAMPLE
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5 is in the sequence since 5 = 101_2 and 5 is not a multiple of 1 + 0 + 1 = 2.
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MATHEMATICA
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Select[Range[100], !IntegerQ[#/Total[IntegerDigits[#, 2]]]&] (* Harvey P. Dale, Apr 20 2011 *)
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PROG
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(PARI) Count(x, d)= { local(c=0, f); while (x>9, f=x%10; if (f==d, c++); x\=10); if (x==d, c++); return(c) } baseE(x, b)= { local(d, e=0, f=1); while (x>0, d=x%b; x\=b; e+=d*f; f*=10); return(e) } { n=0; for (m=1, 10^9, if (m%Count(baseE(m, 2), 1), write("b065878.txt", n++, " ", m); if (n==1000, return)) ) } \\ Harry J. Smith, Nov 03 2009
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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