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A081036
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9th binomial transform of the periodic sequence (1,10,1,1,10,1...).
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2
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1, 19, 262, 3196, 36568, 402544, 4320352, 45562816, 474502528, 4896020224, 50168161792, 511345294336, 5190762354688, 52526098837504, 530208790700032, 5341670325600256, 53733362604802048, 539866900838416384
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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) = 10*a(n-1)+9*8^(n-1).
a(n) = (11/2)*10^n-(9/2)*8^n.
a(0)=1, a(1)=19, a(n)=18*a(n-1)-80*a(n-2). - Harvey P. Dale, Aug 16 2014
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MATHEMATICA
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CoefficientList[Series[(1 + x)/((1 - 8 x) (1 - 10 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *)
LinearRecurrence[{18, -80}, {1, 19}, 20] (* Harvey P. Dale, Aug 16 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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EXTENSIONS
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STATUS
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approved
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