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A221004
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The Wiener index of the nanostar dendrimer NS[n], defined pictorially in the Wang-Hua reference.
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1
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1437, 4263, 15675, 68163, 325779, 1602483, 7835379, 37613427, 176915571, 816731763, 3710601843, 16633811571, 73738101363, 323845964403, 1411137700467, 6107956052595, 26286286307955, 112564798489203, 479941662081651, 2038504721744499, 8628988563948147, 36415869693198963, 153263217907335795, 643451990789063283, 2695404780741722739, 11268007106608890483
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 627 + 2^n*(936*n+1602)+4^n*(432*n-792).
G.f.: 3*(479-4806*x+17408*x^2-25152*x^3+13952*x^4)/((1-x)*(1-2*x)^2*(1-4*x)^2). - Bruno Berselli, Dec 30 2012
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MAPLE
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a := proc (n) options operator, arrow: 627+2^n*(936*n+1602)+4^n*(432*n-792) end proc: seq(a(n), n = 0 .. 25);
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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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