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A351530
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The number of quinary strings of length n containing 00.
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3
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0, 0, 1, 9, 65, 421, 2569, 15085, 86241, 483429, 2669305, 14564061, 78699089, 421880725, 2246459881, 11894065549, 62665617345, 328756309701, 1718275598809, 8951067087165, 46492068009521, 240846026714869, 1244719810538185, 6419100507215341
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OFFSET
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0,4
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LINKS
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FORMULA
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G.f.: x^2 / ( (5*x-1)*(4*x^2+4*x-1) ).
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MATHEMATICA
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CoefficientList[Series[x^2/((5*x - 1)*(4*x^2 + 4*x - 1)), {x, 0, 30}], x] (* Wesley Ivan Hurt, Jun 22 2022 *)
LinearRecurrence[{9, -16, -20}, {0, 0, 1}, 30] (* Harvey P. Dale, Mar 26 2024 *)
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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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