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A135423
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a(n) = (5*9^n + 1)/2.
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4
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3, 23, 203, 1823, 16403, 147623, 1328603, 11957423, 107616803, 968551223, 8716961003, 78452649023, 706073841203, 6354664570823, 57191981137403, 514727830236623, 4632550472129603, 41692954249166423, 375236588242497803
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 9*a(n-1) - 4 for n>0, a(0)=3.
O.g.f.: (1/(1-x) - 5/(9*x-1))/2. - R. J. Mathar, Feb 19 2008
E.g.f.: (1/2)*( 5*exp(9*x) + exp(x) ). - G. C. Greubel, Oct 14 2016
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MATHEMATICA
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Table[ (5*9^n + 1)/2, {n, 0, 25}] (* or *) LinearRecurrence[{10, -9}, {3, 23}, 25] (* G. C. Greubel, Oct 14 2016 *)
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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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EXTENSIONS
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Definition rewritten (with Mathar's formula) from Bruno Berselli, Nov 08 2011
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STATUS
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approved
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