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A278122
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a(n) = 204*2^n - 248.
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1
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160, 568, 1384, 3016, 6280, 12808, 25864, 51976, 104200, 208648, 417544, 835336, 1670920, 3342088, 6684424, 13369096, 26738440, 53477128, 106954504, 213909256, 427818760, 855637768, 1711275784, 3422551816, 6845103880, 13690208008, 27380416264, 54760832776
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OFFSET
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1,1
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COMMENTS
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a(n) is the first Zagreb index of the nanostar dendrimer NSC5C6[n].
The first Zagreb index of a simple connected graph is the sum of the squared degrees of its vertices. Alternately, it is the sum of the degree sums d(i)+d(j) over all edges ij of the graph. The pictorial definition of NSC5C6[n] can be viewed in the A. R. Ashrafi et al. and in the M. Rostami et al. references.
The M-polynomial of the nanostar dendrimer NSC5C6[n] is M(NSC5C6[n],x,y) = (4*2^n - 6)*x*y^3 + 4*2^n*x*y^4 + (4*2^n -6)*x^2*y^2 + (18*2^n - 28)*x^2*y^3 + 2*2^n*x^2*y^4 + (7*2^n - 10)*x^3*y^3 + 2^n*x^4*y^4.
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LINKS
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FORMULA
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G.f.: 8*x*(20 + 11*x)/((1 - x)*(1 - 2*x)).
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MAPLE
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seq(204*2^n-248, n = 1..35);
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PROG
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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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