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A083421
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a(n)=2*5^n-2^n.
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2
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1, 8, 46, 242, 1234, 6218, 31186, 156122, 780994, 3905738, 19530226, 97654202, 488277154, 2441398058, 12207014866, 61035123482, 305175715714, 1525878775178, 7629394269106, 38146972131962, 190734862232674
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OFFSET
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0,2
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COMMENTS
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Third binomial transform of A014551(n+1)
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LINKS
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Table of n, a(n) for n=0..20.
Index entries for linear recurrences with constant coefficients, signature (7,-10)
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FORMULA
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G.f.: (1+x)/((1-2x)(1-5x));
e.g.f.: 2exp(5x)-exp(2x).
a(0)=1, a(1)=8, a(n)=7*a(n-1)-10*a(n-2). - Harvey P. Dale, Dec 03 2015
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MATHEMATICA
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Table[2*5^n-2^n, {n, 0, 20}] (* or *) LinearRecurrence[{7, -10}, {1, 8}, 30] (* Harvey P. Dale, Dec 03 2015 *)
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CROSSREFS
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Sequence in context: A026867 A026885 A052244 * A113992 A352094 A037070
Adjacent sequences: A083418 A083419 A083420 * A083422 A083423 A083424
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry, Apr 29 2003
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STATUS
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approved
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