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A178869
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a(n) = 9*a(n-1) - 10*a(n-2); a(0)=0, a(1)=1.
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5
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0, 1, 9, 71, 549, 4231, 32589, 250991, 1933029, 14887351, 114655869, 883029311, 6800705109, 52376052871, 403377424749, 3106636294031, 23925952398789, 184267208648791, 1419145353851229, 10929636098173151, 84175271345046069
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OFFSET
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0,3
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COMMENTS
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Alternating row sums of triangle A206819. Large Schroeder numbers in decimal expansion of ratio a(n)/a(n+1). [A-number corrected by Philippe Deléham, Feb 26 2013]
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LINKS
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FORMULA
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G.f.: -x/(-10*x^2+9*x-1).
a(n) = 9a(n-1)-10a(n-2), a(0)=0, a(1)=1. [Harvey P. Dale, May 06 2011]
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MATHEMATICA
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LinearRecurrence[{9, -10}, {0, 1}, 50] (* or *) CoefficientList[Series[ -x/(-10x^2+9x-1), {x, 0, 50}], x] (* Harvey P. Dale, May 06 2011 *)
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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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