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A179135
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a(n) = (3-sqrt(5))*((3+sqrt(5))/10)^(-n)/2+(3+sqrt(5))*((3-sqrt(5))/10)^(-n)/2.
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3
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3, 35, 450, 5875, 76875, 1006250, 13171875, 172421875, 2257031250, 29544921875, 386748046875, 5062597656250, 66270263671875, 867489013671875, 11355578613281250, 148646453857421875, 1945807342529296875
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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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G.f.: (3-10*z)/(1-15*z+25*z^2).
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MAPLE
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with(GraphTheory): nmax:=72; P:=9: G:=PathGraph(P): A:= AdjacencyMatrix(G): for n from 0 to nmax do B(n):=A^n; A178381(n):=add(B(n)[1, k], k=1..P); od: for n from 0 to nmax/4-1 do a(n):= A178381(4*n+3) od: seq(a(n), n=0..nmax/4-1);
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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