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A165755
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a(n) = (5-3*5^n)/2.
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2
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1, -5, -35, -185, -935, -4685, -23435, -117185, -585935, -2929685, -14648435, -73242185, -366210935, -1831054685, -9155273435, -45776367185, -228881835935, -1144409179685, -5722045898435, -28610229492185
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 5*a(n-1) - 10, a(0)=1.
a(n) = 6*a(n-1)-5*a(n-2), a(0)= 1, a(1)= -5, for n>1.
G.f.: (1-11x)/(1-6x+5x^2).
a(n) = Sum_{0<=k<=n} A112555(n,k)*(-6)^(n-k).
E.g.f.: (1/2)*(5*exp(x) - 3*exp(5*x)). - G. C. Greubel, Apr 07 2016
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MATHEMATICA
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(5-3*5^Range[0, 20])/2 (* or *) LinearRecurrence[{6, -5}, {1, -5}, 20] (* Harvey P. Dale, Apr 18 2013 *)
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PROG
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(PARI) x='x+O('x^99); Vec((1-11*x)/(1-6*x+5*x^2)) \\ Altug Alkan, Apr 07 2016
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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