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842, 1683, 2524, 3365, 4206, 5047, 5888, 6729, 7570, 8411, 9252, 10093, 10934, 11775, 12616, 13457, 14298, 15139, 15980, 16821, 17662, 18503, 19344, 20185, 21026, 21867, 22708, 23549, 24390, 25231, 26072, 26913, 27754, 28595, 29436
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OFFSET
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1,1
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COMMENTS
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The identity (841*n+1)^2-(841*n^2+2*n)*(29)^2=1 can be written as a(n)^2-A158403(n)*(29)^2=1.
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LINKS
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FORMULA
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G.f.: x*(842-x)/(1-x)^2.
a(n) = 2*a(n-1)-a(n-2).
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MATHEMATICA
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LinearRecurrence[{2, -1}, {842, 1683}, 50]
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PROG
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(Magma) I:=[842, 1683]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
(PARI) a(n) = 841*n + 1.
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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