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A185277
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a(n) = n^9 + 9^n.
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5
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1, 10, 593, 20412, 268705, 2012174, 10609137, 45136576, 177264449, 774840978, 4486784401, 33739007300, 287589316833, 2552470327702, 22897453501745, 205929575454024, 1853088908328577, 16677300287543066, 150094833656289489
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OFFSET
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0,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (19,-135,525,-1290,2142,-2478,2010,-1125,415,-91,9).
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FORMULA
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G.f.: (1 - 9*x + 538*x^2 + 9970*x^3 - 43028*x^4 - 638168*x^5-1317266*x^6 - 779618*x^7 - 130925*x^8 - 4527*x^9 - 8*x^10)/((1-x)^10*(1-9*x)). - Vincenzo Librandi, Aug 28 2014
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MATHEMATICA
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Table[9^n + n^9, {n, 0, 30}] (* or *) CoefficientList[Series[(1 - 9 x + 538 x^2 + 9970 x^3 - 43028 x^4 - 638168 x^5 - 1317266 x^6 - 779618 x^7 - 130925 x^8 - 4527 x^9 - 8 x^10)/((1 - x)^10 (1 - 9 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 28 2014 *)
LinearRecurrence[{19, -135, 525, -1290, 2142, -2478, 2010, -1125, 415, -91, 9}, {1, 10, 593, 20412, 268705, 2012174, 10609137, 45136576, 177264449, 774840978, 4486784401}, 20] (* Harvey P. Dale, Jun 08 2023 *)
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PROG
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(PARI) for(n=0, 25, print1(n^9 + 9^n, ", ")) \\ G. C. Greubel, Jun 25 2017
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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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