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A152596
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a(n) = 7*a(n-1) - 6*a(n-2), n>1; a(0)=1, a(1)=3.
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3
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1, 3, 15, 87, 519, 3111, 18663, 111975, 671847, 4031079, 24186471, 145118823, 870712935, 5224277607, 31345665639, 188073993831, 1128443962983, 6770663777895, 40623982667367, 243743896004199, 1462463376025191, 8774780256151143, 52648681536906855, 315892089221441127
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: (1-4*x)/(1 - 7*x + 6*x^2).
a(n) = Sum_{k=0..n} A147703(n,k)*2^(n-k).
a(n) = (1/5)*(3 + 2*6^n), with n>=0. - Paolo P. Lava, Dec 12 2008
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MATHEMATICA
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LinearRecurrence[{7, -6}, {1, 3}, 30] (* Harvey P. Dale, Jul 27 2021 *)
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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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EXTENSIONS
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STATUS
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approved
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