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A022315
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a(n)=a(n-1)+a(n-2)+1.
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0
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0, 10, 11, 22, 34, 57, 92, 150, 243, 394, 638, 1033, 1672, 2706, 4379, 7086, 11466, 18553, 30020, 48574, 78595, 127170, 205766, 332937, 538704, 871642, 1410347, 2281990, 3692338, 5974329, 9666668
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,0,-1).
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FORMULA
| G.f. ( -x*(-10+9*x) ) / ( (x-1)*(x^2+x-1) ). a(n) = A022101(n)-1. - R. J. Mathar, Apr 07 2011
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MATHEMATICA
| CoefficientList[Series[(10 x-9 x^2)/(1-2 x+x^3), {x, 0, 30}], x] (* From Harvey P. Dale, Mar 5 2011 *)
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CROSSREFS
| Sequence in context: A041847 A113702 A102488 * A061590 A173900 A051803
Adjacent sequences: A022312 A022313 A022314 * A022316 A022317 A022318
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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