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A335718
a(n) = 2*a(n-1) + 3*a(n-2) + 5*a(n-3), a(0) = 0, a(1) = 1, a(2) = 2.
3
0, 1, 2, 7, 25, 81, 272, 912, 3045, 10186, 34067, 113917, 380965, 1274016, 4260512, 14247897, 47647410, 159341071, 532863857, 1781987977, 5959272880, 19928828976, 66645416477, 222873684282, 745327762875, 2492503660981, 8335359031997, 27874867861312, 93218331123520
OFFSET
0,3
COMMENTS
In Soykan (2020), this sequences is referred to as G_n, "Grahaml sequence" (sic), see p. 45.
LINKS
YĆ¼ksel Soykan, On Generalized Grahaml Numbers, Journal of Advances in Mathematics and Computer Science (2020) Vol. 35, No. 2: 42-57, Article no. JAMCS.55255.
FORMULA
G.f.: x/(1 - 2*x - 3*x^2 - 5*x^3).
MATHEMATICA
LinearRecurrence[{2, 3, 5}, {0, 1, 2}, 29] (* or *)
CoefficientList[Series[x/(1 - 2 x - 3 x^2 - 5 x^3), {x, 0, 28}], x]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Michael De Vlieger, Jun 18 2020
STATUS
approved