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A171415
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a(n) = 99*a(n-1) - a(n-2); a(0) = 0, a(1) = 1.
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1
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0, 1, 99, 9800, 970101, 96030199, 9506019600, 940999910201, 93149485090299, 9220858024029400, 912771794893820301, 90355186836464180399, 8944250725015060039200, 885390466589654479700401
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OFFSET
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0,3
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COMMENTS
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Related to Motzkin numbers.
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LINKS
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FORMULA
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a(n+1)^2 - a(n)^2 = a(2*n+1). - Richard Choulet_, Dec 10 2009
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MAPLE
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a(0):=0: a(1):=1: for n from 0 to 50 do a(n+2):=99*a(n+1)-a(n): od: seq(a(n), n=0..30);
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MATHEMATICA
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LinearRecurrence[{99, -1}, {0, 1}, 30] (* Harvey P. Dale, Dec 18 2015 *)
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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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