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A050914
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a(n) = n*3^n + 1.
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5
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1, 4, 19, 82, 325, 1216, 4375, 15310, 52489, 177148, 590491, 1948618, 6377293, 20726200, 66961567, 215233606, 688747537, 2195382772, 6973568803, 22082967874, 69735688021, 219667417264, 690383311399, 2165293113022, 6778308875545
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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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a(n) = 7*a(n-1) - 15*a(n-2) + 9*a(n-3).
G.f.: -(6*x^2 - 3*x + 1)/((x-1)*(3*x-1)^2). (End)
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MATHEMATICA
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Table[n*3^n+1, {n, 0, 30}] (* or *) LinearRecurrence[{7, -15, 9}, {1, 4, 19}, 30] (* Harvey P. Dale, Nov 07 2012 *)
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PROG
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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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