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A305060
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a(n) = 18*2^n + 10.
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3
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28, 46, 82, 154, 298, 586, 1162, 2314, 4618, 9226, 18442, 36874, 73738, 147466, 294922, 589834, 1179658, 2359306, 4718602, 9437194, 18874378, 37748746, 75497482, 150994954, 301989898, 603979786, 1207959562, 2415919114, 4831838218, 9663676426, 19327352842, 38654705674, 77309411338, 154618822666, 309237645322
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OFFSET
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0,1
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COMMENTS
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a(n) (n>=0) is the number of vertices of the dendrimer graph K[n], defined pictorially in the Ghorbani et al. reference (see Figs. 9, 10, and 11).
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LINKS
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FORMULA
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O.g.f.: 2*(14 - 19*x)/((1 - x)*(1 - 2*x)).
E.g.f.: 2*(5 + 9*exp(x))*exp(x).
a(n) = 3*a(n-1) - 2*a(n-2) = 2*a(n-1) - 10. (End)
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MAPLE
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seq(18*2^n+10, n = 0 .. 40);
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MATHEMATICA
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LinearRecurrence[{3, -2}, {28, 46}, 40] (* Harvey P. Dale, Feb 11 2024 *)
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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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