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A016244
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Expansion of 1/((1-x)*(1-6*x)*(1-9*x)).
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4
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1, 16, 187, 1942, 19033, 180628, 1681639, 15470674, 141251605, 1283357680, 11622778531, 105040363246, 947975408017, 8547451504972, 77021100541663, 693754126856458, 6247172473597069, 56244864253707304
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = (1 - 96*6^n + 135*9^n)/40. - Neven Juric, Oct 22 2009
E.g.f.: (1/40)*(exp(x) - 96*exp(6*x) + 135*exp(9*x)). - G. C. Greubel, Jan 30 2022
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MATHEMATICA
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LinearRecurrence[{16, -69, 54}, {1, 16, 187}, 41] (* G. C. Greubel, Jan 30 2022 *)
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PROG
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(PARI) Vec(1/((1-x)*(1-6*x)*(1-9*x)) + O(x^40)) \\ Michel Marcus, Sep 04 2017
(Magma) [(1 -96*6^n +135*9^n)/40: n in [0..40]]; // G. C. Greubel, Jan 30 2022
(Sage) [(1 -16*6^(n+1) +15*9^(n+1))/40 for n in (0..40)] # G. C. Greubel, Jan 30 2022
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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