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A055994
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Expansion of (1+6x)/(1-x)^10.
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2
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1, 16, 115, 550, 2035, 6292, 17017, 41470, 92950, 194480, 384098, 722228, 1301690, 2261000, 3801710, 6210644, 9887999, 15382400, 23434125, 35027850, 51456405, 74397180, 106002975, 149009250, 206859900, 283853856, 385314996, 517788040
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OFFSET
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0,2
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COMMENTS
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1)
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FORMULA
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a(n) = (7n+9)*C(n+8, 8)/9.
G.f.: (1+6x)/(1-x)^10.
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MATHEMATICA
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CoefficientList[Series[(1 + 6 x)/(1 - x)^10, {x, 0, 50}], x] (* Vincenzo Librandi, Jul 30 2014 *)
LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1, 16, 115, 550, 2035, 6292, 17017, 41470, 92950, 194480}, 30] (* Harvey P. Dale, Sep 07 2022 *)
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PROG
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(Magma) [((7*n+9)*Binomial(n+8, 8))/9: n in [0..40]]; // Vincenzo Librandi, Jul 30 2014
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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