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A327636
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Numbers n such that 2n + 1 divides 2^n + n^2.
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1
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0, 1, 313, 30853, 42992, 247753, 584989, 4130748, 4390945, 4780473, 5871073, 7615813, 8123113, 13514233, 13971013, 19128653, 19392433, 43794833, 51644173, 67314973, 69522073, 108168073, 124498753, 124510153, 177694105, 198750308, 208302253, 212791885, 230815033
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OFFSET
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0,3
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COMMENTS
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2*a(n) + 1: 1, 3, 627, 61707, 85985, 495507, 1169979, 8261497, ...
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LINKS
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Table of n, a(n) for n=0..28.
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MATHEMATICA
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Do[ k=2*n+1; f=PowerMod[ 2, n, k ] + PowerMod[ n, 2, k ]; If[ IntegerQ[ f/k ], Print[ n ] ], {n, 0, 10^7} ] (* Metin Sariyar, Sep 21 2019 *)
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PROG
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(MAGMA) [n: n in [0..100000] | Denominator((2^n+n^2)/(2*n+1)) eq 1];
(PARI) is(n) = Mod(2, 2*n+1)^n==-n^2 \\ Felix Fröhlich, Sep 20 2019
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CROSSREFS
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Cf. A001580, A242776.
Sequence in context: A200912 A123059 A210071 * A332131 A287294 A255388
Adjacent sequences: A327633 A327634 A327635 * A327637 A327638 A327639
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov, Sep 20 2019
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EXTENSIONS
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More terms from Felix Fröhlich, Sep 20 2019
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STATUS
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approved
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