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A034020
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Not of the form x^2 + x*y + y^2.
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11
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2, 5, 6, 8, 10, 11, 14, 15, 17, 18, 20, 22, 23, 24, 26, 29, 30, 32, 33, 34, 35, 38, 40, 41, 42, 44, 45, 46, 47, 50, 51, 53, 54, 55, 56, 58, 59, 60, 62, 65, 66, 68, 69, 70, 71, 72, 74, 77, 78, 80, 82, 83, 85, 86, 87, 88, 89, 90, 92, 94, 95, 96, 98, 99, 101, 102, 104, 105
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OFFSET
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1,1
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COMMENTS
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Appears to be the sequence of nonsquare n such that sigma(n)==0 (mod 3). - Benoit Cloitre, Sep 17 2002
Numbers n such that n-th coefficient of eta(x)^3/eta(x^3) is zero where eta(x) coefficients are given by A010815. - Benoit Cloitre, Oct 06 2005
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LINKS
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FORMULA
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MATHEMATICA
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Select[Range@ 105, ! Resolve[Exists[{x, y}, Reduce[# == x^2 + x y + y^2, {x, y}, Integers]]] &] (* Michael De Vlieger, Jan 06 2016 *)
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PROG
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(PARI) default(seriesprecision, 105); for(n=1, 105, if (polcoeff(eta(x)^3/eta(x^3)+O(x^(n+1)), n) == 0, print1(n, ", "))) \\ Benoit Cloitre, Oct 06 2005
(PARI) x='x+O('x^100); p=eta(x)^3/eta(x^3); for(n=1, 99, if(polcoeff(p, n)==0, print1(n, ", "))); \\ Altug Alkan, Nov 08 2015
(PARI) list(lim)=my(v=List(), y, t); lim\=1; for(x=0, sqrtint(lim\3), my(y=x, t); while((t=x^2+x*y+y^2)<=lim, listput(v, t); y++)); v=Set(v); setminus([2..lim], v) \\ Charles R Greathouse IV, Jul 05 2017
(Haskell)
a034020 n = a034020_list !! (n-1)
a034020_list = f [0..] a003136_list where
f (x:xs) ys'@(y:ys) | x < y = x : f xs ys'
| otherwise = f xs ys
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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