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A158255
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a(n) = 289n + 1.
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2
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290, 579, 868, 1157, 1446, 1735, 2024, 2313, 2602, 2891, 3180, 3469, 3758, 4047, 4336, 4625, 4914, 5203, 5492, 5781, 6070, 6359, 6648, 6937, 7226, 7515, 7804, 8093, 8382, 8671, 8960, 9249, 9538, 9827, 10116, 10405, 10694, 10983, 11272, 11561
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OFFSET
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1,1
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COMMENTS
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The identity (289*n+1)^2-(289*n^2+2*n)*(17)^2=1 can be written as a(n)^2-A158254(n)*(17)^2=1.
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LINKS
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FORMULA
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a(n) = 2*a(n-1)-a(n-2).
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MATHEMATICA
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LinearRecurrence[{2, -1}, {290, 579}, 50]
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PROG
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(Magma) I:=[290, 579]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
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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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