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A335720
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a(n) = 2*a(n-1) + 3*a(n-2) + 5*a(n-3), a(0) = 0, a(1) = 1, a(2) = 1.
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3
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0, 1, 1, 5, 18, 56, 191, 640, 2133, 7141, 23881, 79850, 267048, 893051, 2986496, 9987385, 33399513, 111693661, 373522786, 1249124120, 4177284903, 13969556096, 46716587501, 156228267805, 522454078593, 1747175898106, 5842855371016, 19539508829315, 65343463262208
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OFFSET
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0,4
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COMMENTS
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In Soykan (2020), this sequences is referred to as E_n, "modified Grahaml sequence" (sic), see p. 45.
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LINKS
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Yüksel Soykan, On Generalized Grahaml Numbers, Journal of Advances in Mathematics and Computer Science (2020) Vol. 35, No. 2: 42-57, Article no. JAMCS.55255.
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FORMULA
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G.f.: (x - x^2)/(1 - 2*x - 3*x^2 - 5*x^3).
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MATHEMATICA
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LinearRecurrence[{2, 3, 5}, {0, 1, 1}, 29] (* or *)
CoefficientList[Series[(x - x^2)/(1 - 2 x - 3 x^2 - 5 x^3), {x, 0, 28}], x]
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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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