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A081035
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8th binomial transform of the periodic sequence (1,9,1,1,9,1...).
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4
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1, 17, 209, 2273, 23201, 228017, 2186609, 20620673, 192174401, 1775688017, 16304021009, 148995991073, 1356782533601, 12321773100017, 111671069983409, 1010465414433473, 9132169221980801, 82455386442384017, 743959522093353809, 6708663007623467873, 60469158230094196001
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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) = 9*a(n-1) + 8*7^(n-1).
a(n) = 5*9^n - 4*7^n.
a(0)=1, a(1)=17, a(n)=16*a(n-1)-63*a(n-2). - Harvey P. Dale, Oct 07 2014
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MATHEMATICA
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CoefficientList[Series[(1 + x)/((1 - 7 x) (1 - 9 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *)
LinearRecurrence[{16, -63}, {1, 17}, 30] (* Harvey P. Dale, Oct 07 2014 *)
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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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