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A305262
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a(n) = 140*2^n - 127.
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4
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13, 153, 433, 993, 2113, 4353, 8833, 17793, 35713, 71553, 143233, 286593, 573313, 1146753, 2293633, 4587393, 9174913, 18349953, 36700033, 73400193, 146800513, 293601153, 587202433, 1174404993, 2348810113, 4697620353, 9395240833, 18790481793, 37580963713, 75161927553, 150323855233
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OFFSET
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0,1
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COMMENTS
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a(n) is the number of edges of the nanostar dendrimer G[n], shown pictorially as NSD[n] in the Rostami et al. reference (Fig. 2).
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LINKS
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FORMULA
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G.f.: (13 + 114*x) / ((1 - x)*(1 - 2*x)).
a(n) = 3*a(n-1) - 2*a(n-2) for n>1.
(End)
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MAPLE
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seq(140*2^n-127, n = 0 .. 40);
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PROG
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(PARI) Vec((13 + 114*x) / ((1 - x)*(1 - 2*x)) + O(x^40)) \\ Colin Barker, May 31 2018
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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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