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A091398
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a(n) = Product_{ p | n } (1 + Legendre(5,p) ).
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2
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1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0
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OFFSET
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1,11
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LINKS
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Andrew Howroyd, Table of n, a(n) for n = 1..1000
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MAPLE
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with(numtheory); L := proc(n, N) local i, t1, t2; t1 := ifactors(n)[2]; t2 := mul((1+legendre(N, t1[i][1])), i=1..nops(t1)); end; [seq(L(n, 5), n=1..120)];
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MATHEMATICA
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a[n_] := Times @@ (1+KroneckerSymbol[5, #]& /@ FactorInteger[n][[All, 1]]);
Array[a, 105] (* Jean-François Alcover, Apr 08 2020 *)
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PROG
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(PARI) a(n)={my(f=factor(n)[, 1]); prod(i=1, #f, 1 + kronecker(5, f[i]))} \\ Andrew Howroyd, Jul 23 2018
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CROSSREFS
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Cf. A080891, A091379, A091396.
Sequence in context: A087781 A181009 A270599 * A062103 A112314 A280799
Adjacent sequences: A091395 A091396 A091397 * A091399 A091400 A091401
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KEYWORD
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nonn,mult
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AUTHOR
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N. J. A. Sloane, Mar 02 2004
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STATUS
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approved
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