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A304613
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a(n) = 87*2^n - 45.
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4
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42, 129, 303, 651, 1347, 2739, 5523, 11091, 22227, 44499, 89043, 178131, 356307, 712659, 1425363, 2850771, 5701587, 11403219, 22806483, 45613011, 91226067, 182452179, 364904403, 729808851, 1459617747, 2919235539, 5838471123, 11676942291, 23353884627, 46707769299
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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 NS[n] from the Mirzargar reference.
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LINKS
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FORMULA
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G.f.: 3*(14 + 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(87*2^n-45, n = 0 .. 40);
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PROG
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(PARI) Vec(3*(14 + x) / ((1 - x)*(1 - 2*x)) + O(x^40)) \\ Colin Barker, May 17 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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