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482, 1932, 4350, 7736, 12090, 17412, 23702, 30960, 39186, 48380, 58542, 69672, 81770, 94836, 108870, 123872, 139842, 156780, 174686, 193560, 213402, 234212, 255990, 278736, 302450, 327132, 352782, 379400, 406986, 435540, 465062, 495552
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OFFSET
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1,1
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COMMENTS
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The identity (484*n-1)^2-(484*n^2-2*n)*(22)^2=1 can be written as A158330(n)^2-a(n)*(22)^2=1.
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LINKS
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FORMULA
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a(n) = 3*a(n-1) -3*a(n-2) +a(n-3).
G.f.: x*(-482-486*x)/(x-1)^3.
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MATHEMATICA
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LinearRecurrence[{3, -3, 1}, {482, 1932, 4350}, 50]
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PROG
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(Magma) I:=[482, 1932, 4350]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+1*Self(n-3): n in [1..50]];
(PARI) a(n) = 484*n^2 - 2*n.
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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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