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A110700
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Number of zeros in the smallest prime with Hamming weight n (given by A061712).
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5
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1, 0, 0, 1, 0, 3, 0, 1, 1, 1, 1, 1, 0, 3, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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COMMENTS
| a(n)=0 iff n belongs A000043.
Observe that a(n)=3 for n=6, 14, 30, 62, 126, 254, 510, 1022, ... which is A000918. Conjecture: a(n) is never greater than 3. - T. D. Noe, Mar 14 2008
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1024
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FORMULA
| A110700(n) = A110699(n) - n
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MAPLE
| with(combstruct); a:=proc(n) local m, is, s, t, r; if n=1 then return 1 fi; r:=+infinity; for m from 0 do is := iterstructs(Combination(n-2+m), size=n-2); while not finished(is) do s := nextstruct(is); t := 2^(n-1+m)+1+add(2^i, i=s); if isprime(t) then return m fi; od; od; return 0; end;
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CROSSREFS
| Cf. A000043, A061712, A110699.
Sequence in context: A101949 A124796 A065714 * A181875 A051908 A056614
Adjacent sequences: A110697 A110698 A110699 * A110701 A110702 A110703
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KEYWORD
| nonn
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AUTHOR
| Max Alekseyev (maxale(AT)gmail.com), Aug 03 2005
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