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A156568
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a(n) = 6*a(n-1)-a(n-2) for n > 2; a(1)=23, a(2)=115.
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3
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23, 115, 667, 3887, 22655, 132043, 769603, 4485575, 26143847, 152377507, 888121195, 5176349663, 30169976783, 175843511035, 1024891089427, 5973503025527, 34816127063735, 202923259356883, 1182723429077563
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = 23*((2+sqrt(2))*(3-2*sqrt(2))^n +(2-sqrt(2))*(3+2*sqrt(2))^n)/4.
Limit_{n -> oo} a(n)/a(n-1) = 3+2*sqrt(2).
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PROG
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(PARI) {m=19; v=concat([23, 115], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-v[n-2]); v}
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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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